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STAAR GEOMETRY REVIEW Reporting Category 4

1

(G.8) Congruence and the geometry of size:

The student uses tools to determine measurements of

geometric figures and extends measurement concepts to find perimeter, area, and volume in

problem situations.

Name: ____________________________________________________

Date: ____________________________________________________

Period: ____________________________________________________

Topic: (G.8)(A) - Find areas of regular polygons, circle, and composite figures. (READINESS STANDARD)

Academic Language Notes

Area

Regular Polygon

Circle

Composite Figure


2

(G.8)(A) Find areas of regular polygons, circle, and composite figures. (READINESS STANDARD)

1. A pizza has a diameter of 16 inches. Which is closest to the area of one slice if the pizza is divided

into 6 equal pieces?

A. 134.1 sq in.

B. 117.1 sq in.

C. 67.2 sq in.

D. 33.5 sq in.

2.

The lengths of two consecutive sides of the

parallelogram shown are 10 inches and 15

inches. The two sides include an angle of 60o.

To the nearest tenth of a square inch,

what is the area of the parallelogram?

F. 21.6 in.2

G. 129.9 in. 2

_

H. 139.4 in. 2

J. 140.5 in. 2

3.

What is the area of the unshaded part of the

rectangle to the right?

A. 19,000 ft2

B. 45,000 ft2

C. 28,000 ft2

D. 26,000 ft2


3

4. The figure on the right shows a CD in its

rectangular storage case. Which is closest to

the area of the storage case not occupied by

the CD?

F. 55 cm2

G. 46 cm2

H. 51 cm2

J. 60 cm2

5.

The dimensions of 3 connected stores are

shown to the right. How many square feet of

floor space are used by the 3 stores?

A. 9,600 ft 2

B. 11,280 ft 2

C. 21,141 ft 2

D. 42,021 ft 2

6.

What is the total area of the polygon shown?

F. 126 ft2

G. 450 ft2

H. 600 ft2

J. 900 ft2


4

7. The area rug pictured below is 6

feet wide by 9 feet long. If each

side of each white hexagon

measures 1.8 ft, then what is the

total area of the gray portions of

this rug?

A. 13.5 ft2

B. 11.91 ft2

C. 40.5 ft2

D. 54 ft2

8.

Below is the top view of a hexagonal gazebo which is built on a round cement foundation that has

an area of 8m2. The roof is made up six equilateral triangles with beams that extend 0.25m

beyond the roof on all six vertices. To the nearest tenth, approximately how much of the cement

foundation is not covered by the roof?

F. 3.3 m2

G. 4.7 m2

H. 6.6 m2

J. 9.5 m2

9.

A custom cover is ordered to fit the swimming pool shown below. One end of the pool has a

whirlpool sitting area in the shape of a semi-circle with the rest in the shape of a rectangle. What

is the approximate total area that the pool cover must have?

A. 480 ft2

B. 540 ft2

C. 560 ft2

D. 620 ft2


5




problem situations.

Name: ____________________________________________________

Date: ____________________________________________________

Period: ____________________________________________________

Topic: (G.8)(B) Find areas of sectors and arc lengths of circles using proportional reasoning. (Supporting Standard)


Sector

Central Angle

Arc

Measure of an Arc

Arc Length


6

(G.8)(B) Find areas of sectors and arc lengths of circles using proportional reasoning. (Supporting Standard)

1.

Jeanette is embroidering the border of a

Christmas tree skirt. Her design only

covers the gray regions. To the nearest

tenth of a square foot, how much area will

be covered with Jeanette’s embroidery

work, if the radius of the tree skirt is 2.5 ft

and the width of the square is 3.5 ft?

A. 5.0 ft2

B. 7.4 ft2

C. 12.3 ft2

D. 19.6 ft2

2.

This circle, with center point Q, has a radius

of 10 centimeters. The length of the minor arc

NP is 20.42 centimeters. To the nearest

degree, what is the value of x?

F. 110º

G. 117º

H. 204º

J. 233º


7

3. A granite piece is being fashioned to fit over a fireplace. A segment must be cut out to fit over the

arch of the fireplace opening. What is the approximate area of the finished granite arch?

(Use 3.14 for and round your answer to the nearest whole number.)

A. 873 in2 B. 1071 in

2 C. 1264 in

2 D. 1944 in

2

4.

If Jeff ran one-third of the way around a track with a 50-meter radius, approximately how far did

he run?

F. 15 m G. 50 m H. 105 m J. 246 m


8

5. A rotary lawn sprinkler can be adjusted to water any part of a whole circle. The sprinkler is

located at the corner of a cement patio so that it can water the surrounding area of grass as shown.

If the sprinkler can spray at a maximum distance of 20 feet, how much watering coverage does the

sprinkler provide?

A. 314 ft2 B. 1256 ft

2 C. 942 ft

2 D. 3768 ft

2

6.

The measure of a given arc within a circle

with a radius of 4 inches is 50o. Determine

the length of the arc to the nearest hundredth

of an inch.

Record your answer and fill in the bubbles

on grid.


9




problem situations.

Name: ____________________________________________________

Date: ____________________________________________________

Period: ____________________________________________________

Topic: (G.8)(C) - Extend, and use the Pythagorean Theorem. (READINESS STANDARD)


Right Triangle

Hypotenuse

Pythagorean Theorem


10

(G.8)(C) Extend, and use the Pythagorean Theorem. (READINESS STANDARD)

1.

Kim walked diagonally across a

rectangular field that measured 100 feet by

240 feet. Which expression could be used

to determine how far Kim walked?

A. 2 (100 + 240)

B. 100 + 240

C. 2

240*100

D. 22 )240()100(

3. ∆WXY is isosceles. WY is 10 centimeters

long. Find the length of XZ.

A. 5 cm

B. 10 cm

C. 12 cm

D. 13 cm

2. About how many feet of fencing are

needed to enclose a rectangular garden

with a 30-foot-long side and a 40-foot-

long diagonal?

F. 113 ft

G. 133 ft

H. 140 ft

J. 160 ft

4.

Trapezoid LKNP is shown below.

Which is closest to the area of trapezoid

LKNP?

F. 276 in. 2

G. 205 in. 2

H. 289 in. 2

J. 221 in. 2


11

5. The figure below is constructed of

isosceles right triangles. Given that

and = 2 in., then what is the

area of the entire shape? Round your

answer to the nearest tenth.

A. 9.9 in2

B. 13.9 in2

C. 15.1 in2

D. 30.2 in2

6.

The figure below is constructed of similar

right triangles. Given that AO = 4 inches

and AB = 3 inches, then what is the

approximate area of the entire shape?

Round your answer to the nearest tenth.

A. 36.0 in2

B. 53.1 in2

C. 106.1 in2

D. 115.1 in2

7.

Computer "Screen Size" is measured from

the lower left corner to the upper right

corner of the screen. If the diagonal of the

screen is 15 inches and the width of the

screen is 12 inches, then what is the height

of the computer screen?

A. 8 inches

B. 9 inches

C. 10 inches

D. 11 inches


12

8. The total area of trapezoid FGHJ is 52

square inches. What is the approximate

length of segment FJ?

A. 8.0 inches

B. 8.5 inches

C. 11.0 inches

D. 11.5 inches

9.

A couple of friends are out flying a kite. When they get it off the ground, the “flyer” lets out 300 ft

of string. Meanwhile, the “launcher” is 120 ft away from his friend and directly under the kite. To

the nearest tenth, what is the altitude of the kite?

F. 20.5 ft2

G. 180 ft2

H. 275 ft2

J. 323.1 ft2

G F

JH

5 inches

8 inches

8 inches


13




problem situations.

Name: ____________________________________________________

Date: ____________________________________________________

Period: ____________________________________________________

Topic: G.8)(D) - Find surface areas and volumes of prisms, pyramids, spheres, cones, cylinders, and composites of these figures in problem situations. (READINESS STANDARD)


Lateral Area

Lateral Face

Surface Area

Volume

Cubic Unit

Composite Figures


14

(G.8)(D) Find surface areas and volumes of prisms, pyramids, spheres, cones, cylinders, and composites of these figures in problem situations. (READINESS STANDARD)

1. Miguel has a cylinder with the dimensions

shown below. The cylinder is filled to

capacity with water.

If Miguel wants to pour all the water in

this cylinder into 1 of the 4 rectangular

prisms below without any water spilling

out of the prism, which of the following

prisms should he use?


15

2. Henry built a wooden storage shed in the

shape of a rectangular prism for his tools.

The figure on the right shows the

dimensions of the storage shed. If Henry

plans to paint only the top, front, left, and

right sides of his shed, which is closest to

the surface area that will be painted?

F. 121 ft2

G. 181 ft2

H. 154 ft2

J. 91ft2

3.

Oatmeal is packaged in a cylindrical

container with the dimensions shown in

the drawing. Find the approximate volume

of this oatmeal container.

A. 471 cubic centimeters

B. 566 cubic centimeters

C. 1413 cubic centimeters

D. 5655 cubic centimeters

4.

A jewelry box has the dimensions shown

on the right. What is the volume of this

figure to the nearest tenth?

F. 24 in2

G. 61.7 in2

H. 37.7 in2

J. 99.4 in2

10 centimeters

18 centimeters

OATMEAL


16

5.

A box is tightly packed with three cylinders. The dimensions of the box are shown. What is the

volume of the box that is not occupied by the cylinders?

A. 1290.6 in3 B. 1570.8 in

3 C. 4712.8 in

3 D. 5700.0 in

3

6.

In cold climates, buildings are often designed to reduce heat loss by minimizing the exposed

surface area. Determine the approximate surface area of the building that has the least amount of

heat loss.

F. Building A:

628 m2

G. Building B:

628 m2

H. Building A:

704 m2

J. Building B:

704 m2


17




problem situations.

Name: ____________________________________________________

Date: ____________________________________________________

Period: ____________________________________________________

Topic: (G.8)(E) Use area models to connect geometry to probability and statistics. (Supporting Standard)


Area Model

Probability

Experimental Probability

Theoretical Probability

Percent


18

(G.8)(E) Use area models to connect geometry to probability and statistics. (Supporting Standard)

1. Juana rolls two 6-sided number cubes labeled 1 through 6. Which area model can Juana use to

correctly determine the probability that one of the number cubes will have a 3 facing up and the

other will have an even number facing up?

2.

Geraldo has a rectangular plot of land, as shown at

the right, with the dimensions of 17 feet by 22 feet.

If he plans to use the shaded portion as a garden and

build a gazebo with a diameter of 12 feet,

approximately what percentage of the land will be

used as a garden?

F. 30%

G. 70%

H. 21%

J. 79%

A. B.

C. D.


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3. The following table represents the results of an experiment.

Number of People Choosing the Color

Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue



Red Red Red Red Red Red Red Red Red Red

Green Green Green Green Green Green Green Green Green Green

Green Green Green Green Green Green Green Green Green Green

Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow

Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow

What is the experimental probability of a person choosing yellow?

A. 37.5% B. 12.5% C. 25% D. 20%

4.

The shaded region of this map shows the dimensions of a state park. What percentage of the map is

not a state park?

F. 27% G. 73% H. 54% J. 89%

5.

A point is randomly selected on XY . What is the probability that it will be closer to the midpoint of

XY than to either endpoints, X or Y?

A. 4

1 B.

3

1 C.

2

1 D.

4

3


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6. The figure below shows a game board.

A top is spun on the game board and points are awarded based on where the top finally stops. The

edges of the board are raised so that the top will stay on the game board. If the top is equally likely

to stop anywhere on the board, what is the probability that it will stop in a shaded region?

F. 143

2% G 18

3

2% H. 24% J. 29

3

1%

7.

To win a carnival game, Katherine must

throw a dart at a board that is 4 feet by 3 feet

and hit one of the 25 circles on the board.

The diameter of each circle is 4 inches.

Approximately what percent of the time will

a randomly thrown dart that hits the board

also hit a circle? Round your answer to the

nearest tenth of a percent.

Record your answer and fill in the

bubbles on grid.


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problem situations.

Name: ____________________________________________________

Date: ____________________________________________________

Period: ____________________________________________________

Topic: G.8)(F) - Use conversions between measurement systems to solve problems in real-world situations. (Supporting Standard)


Customary system

Metric system

Unit conversion

Proportion


22

(G.8)(F) Use conversions between measurement systems to solve problems in real-world situations. (Supporting Standard)

1. The world’s fastest flying insect is the

dragonfly. It can fly 36 miles per hour. If a

dragonfly flew in a straight path at this rate,

what distance would it fly in 15 minutes?

A. 2 miles

B. 9 miles

C. 25 miles

D. 540 miles

3. A patient is to take 1.2 grams of Tylenol

every 8 hours. The prescription he obtains is

in milligrams. Accordingly, said patient

should take how many milligrams of Tylenol

every 8 hours?

F. 1200 mg

G. 12 mg

H. 1.2 mg

J. 120 mg

2. James runs the 100 meter-dash in 11.50

seconds. Accordingly, James is running

approximately how many feet per second?

F. 28.52 ft

G. 8.7 ft

H. 31.2 ft

J. 13.62 ft

4. If the Indy 500 was looking to revamp its

racing name from “500” miles to kilometers,

what would the new name look like?

A. Indy 250

B. Indy 625

C. Indy 805

D. Indy 1000

5.

The dimensions of the box are 18 inches,

2 feet and 1 yard. What is the volume of

the box in cubic feet? Record your

answer and fill in the bubbles on grid.


23

(G.9) Congruence and the geometry of size: The student analyzes

properties and describes relationships in geometric figures.

Name: ____________________________________________________

Date: ____________________________________________________

Period: ____________________________________________________

Topic: (G.9)(A) - Formulate and test conjectures about the properties of parallel and perpendicular lines based on explorations and concrete models. (Supporting Standard)


Parallel lines

Perpendicular lines

Transversal

Alternate Interior Angles

Alternate Exterior Angles

Corresponding Angles

Same-Side Interior Angles


24

(G.9)(A) Formulate and test conjectures about the properties of parallel and perpendicular lines based on explorations and concrete models. (Supporting Standard)

For #1 – 2, use the diagram below in which

line m line n and line l is a transversal that

passes through lines m and n.

For #3 – 4, use the diagram below in which

line p line r and are both cut by two

transversals.

1. Which of the following pairs of angles are

not supplementary?

A. 1 and 2

B. 1 and 6

C. 1 and 5

D. 1 and 7

3. The angles pairs 1 and 2, 2 and 4,

4 and 3, 3 and 1 all represent what

relationship?

A. same side interior angles

B. same side exterior angles

C. complementary angles

D. supplementary angles

2. If m 3 = 2x + 7 and the m 6 = 45o,

determine the value of x.

F. 15

G. 26

H. 19

J. 64

4. If m 3 = 57o and the m 9 = 115

o,

determine m 7.

F. 57o

G. 58 o

H. 115 o

J. 60 o


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5. Selena is using strings to mark parallel rows

for a vegetable garden behind her house.

If m 1 is 115o, what should be m 2?

A. 25o

B. 65o

C. 75o

D. 115o

7. Transversal l cuts lines a, b, c and d.

Which two lines are parallel?

A. a and c

B. a and d

C. b and c

D. b and d

6. On PQ , R is between P and Q. Point X

does not line on PQ and XR is not

perpendicular to PQ . Which of the

following describes XRQ and XRP?

F. complementary angles

G. congruent angles

H. supplementary angles

J. vertical angles

8. The support legs on a bench are attached in

such a way that the angle make by one leg

with the ground is 130o.

What must the measure of the angle marked

x be in order for the seat of the bench to be

parallel to the ground?

F. 50o

G. 65 o

H. 90 o

J. 130 o


26

9. A carpenter nailed a board across two

beams, forming the angles shown.

Which equal measures would ensure that the

beams are parallel?

A. m 1 = m 2

B. m 1 = m 3

C. m 2 = m 5

D. m 3 = m 4

10. Line p is a transversal.

For lines q, r, s, and t, which is not parallel to

the other three lines?

A. q

B. r

C. s

D. t

11.

Two triangles are joined such that AD and

BC are both perpendicular to AB and CD

is perpendicular to AC . If mBCA = 35o

what is mCDA?


bubbles on grid.


27



Name: ____________________________________________________

Date: ____________________________________________________

Period: ____________________________________________________

Topic: (G.9)(B) Formulate and test conjectures about the properties and attributes of polygons and their component parts based on explorations and concrete models. (Supporting Standard)


Regular Polygon

Side of a Polygon

Vertex of a Polygon

Diagonal

Concave

Convex


28

(G.9)(B) Formulate and test conjectures about the properties and attributes of polygons and their component parts based on explorations and concrete models. (Supporting Standard)

1.

A supporting beam for a porch forms two

angles with a vertical beam in the outside

wall where the porch is attached to the

house. What is the measure of the larger

angle formed by the support and the

vertical beam?

A. 25

B. 50

C. 65

D. 155

3.

Find the values of x and y in circle A.

A. x = 20, y = 25

B. x = 40, y = 50

C. x = 40, y = 100

D. x = 80, y = 100

2. In polygon ABCD, mA = 49°,

mB = 107°, and m C = 2 m D.

What is mC?

F. 24o

G. 102o

H. 68o

J. 136o

4. Which statement is true?

F. Every rhombus is a square.

G. Every parallelogram is a rectangle.

H. Every square is a rectangle.

J. Every quadrilateral is a trapezoid.


29

5. Jared was trying to build a ramp for his

little brother and was going to make it in

the shape of an isosceles triangle. He was

trying to decide what all of the angle

measures should be. One angle measure

of his isosceles triangle was 84°. Give

two possible pairs of measures for the

other two angles.

A. 12° and 12°; 48° and 96°

B. 48° and 84°; 12° and 48°

C. 84° and 12°; 48° and 48°

D. 96° and 12°; 84° and 48°

7. Circle K and circle L are congruent circles

that intersect at M and N. MN is the common

chord of the circles.

What kind of quadrilateral is KMLN?

A. rectangle

B. rhombus

C. square

D. trapezoid

6. The sum of the measures of the interior

angles of a polygon is five times the sum

of the measures of its exterior angles, one

angle at each vertex. How many sides

does the polygon have?

F. 6

G. 12

H. 18

J. 24

8. Which statement is not true about a regular

16-gon?

F. It is a convex polygon.

G. It has 16 congruent sides.

H. The sum of the interior angle measures

2880°.

J. The sum of the exterior angles, one at each

vertex, is 360°.


30

9. Two sides of a triangle have lengths 45

inches and 50 inches. How long can the

third side be?

A. between 5 inches and 50 inches

B. between 5 inches and 95 inches

C. between 45 inches and 50 inches

D. between 5 inches and 45 inches

11. Jaime was trying to cut a piece of wood into a

triangular shape that he could draw on for his

art class. Which of the following sets of

numbers could be lengths of three sides of his

wood project?

A. 4, 5, 8

B. 7, 12, 23

C. 10, 11, 30

D. 14, 18, 37

10. In quadrilateral ABCD, mA = x,

mB = 2x, mC = 3x, and mD = 4x.

Find the value of x and then state which pair

of sides of ABCD must be parallel.

F. x = 3; AD and BD

G. x = 10; CD and DA

H. x = 18; AB and BC

J. x = 36; AB and CD

12. While doing a research project on bees and

beehives, Caitlyn noticed that the face of a

honeycomb consists of interlocking regular

hexagons. What is the measure of each

interior angle of these hexagons?

F. 60°

G. 90°

H. 100°

J. 120°


31



Name: ____________________________________________________

Date: ____________________________________________________

Period: ____________________________________________________

Topic: (G.9)(C) Formulate and test conjectures about the properties and attributes of circles and the lines that intersect them based on explorations and concrete models. (Supporting Standard)


Chord

Secant

Tangent of a Circle

Point of Tangency

Central Angle

Arc


32

(G.9)(C) Formulate and test conjectures about the properties and attributes of circles and the lines that intersect them based on explorations and concrete models. (Supporting Standard)

For # 1 – 2, use the diagram of circle O

shown below.

3. In the figure below, mMLP = 35o.

What is mMOP?

A. 35o

B. 70o

C. 125o

D. 145o

1. Which of the following best describes RS

in relation to the circle O?

A. radius

B. diameter

C. secant

D. tangent

2. Which of the following best describes XY

in relation to the circle O?

F. chord

G. diameter

H. secant

J. tangent

4. P has center P (3,-2) and radius 2. Which

of these lines is tangent to P?

F. x = 0

G. y = -4

H. y = -2

J. x = 4


33

5.

An airplane pilot is flying across the equator.

He can see along an arc of the equator that

stretches from C to D. What is the measure of

arc CD? (Note that the figure is not drawn

to scale.)

A. 3°

B. 4°

C. 5°

D. 6°

6.

A new playground has a sand-filled play area

for small children. The company that built

the play area made the measurements of the

play area shown in the figure. If the play area

is circular, what should the value of x be?

F. 4 yd

G. 4.5 yd

H. 5 yd

J. 5.5 yd

7.

AP is tangent to circle O at A, circle O has

a radius of 6 ft and circle P has a radius of 2 ft.

If AB = 6 ft, what is CD?


bubbles on grid.


34

For 8 – 9, use the figure below in which PA

is tangent to the circle C at point A and the

diameter of the circle is 4 centimeters.

For 10 -11, use the figure below in which

KH is tangent to circle F at point K and

circle G at point J. GJ = 6; JH = 8; FH = 30.

8. What is PF? Round to the nearest

hundredth of a centimeter.

A. 7.25 cm

B. 7.39 cm

C. 8.40 cm

D. 10 cm

10. What is FK?

A. 16

B. 18

C. 20

D. 24

9. What is DE? Round to the nearest

hundredth of a centimeter.

F. 1.75 cm

G. 2.25 cm

H. 2.75 cm

J. 3.75 cm

11. What is KJ?

F. 16

G. 18

H. 20

J. 24


35



Name: ____________________________________________________

Date: ____________________________________________________

Period: ____________________________________________________

Topic: (G.9)(D) Analyze the characteristics of polyhedral and other three-dimensional figures and their component parts based on explorations and concrete models. (Supporting Standard)


Polyhedron

Cone

Cylinder

Net

Prism

Pyramid

Sphere


36

(G.9)(D) Analyze the characteristics of polyhedral and other three-dimensional figures and their component parts based on explorations and concrete models. (Supporting Standard)

1. Which of the following regular solids has 4

vertices, 4 faces, and 6 edges?

A. Cube

B. Tetrahedron

C. Octahedron

D. Icosahedron

3. How many faces, edges, and vertices does a

hexagonal pyramid have?

A. {6,10,6}

B. {7,12,7}

C. {7,10,7}

D. {8,18,12}

2. How many faces, edges, and vertices does

a regular dodecahedron have?

F. {12, 30, 20}

G. {20, 30, 12}

H. {6, 12, 8}

J. {8, 12, 6}

4. For the polyhedron pictured here, describe

how many faces, edges, and vertices it has.

F. {20, 12, 10}

G. {10, 12, 10}

H. {10, 20, 12}

J. {12, 20, 10}


37


The student applies the concept of congruence to

justify properties of figures and solve problems.

Name: ____________________________________________________

Date: ____________________________________________________

Period: ____________________________________________________

Topic: (G.10)(A) Use congruence transformations to make conjectures and justify properties of geometric figures including figures represented on a coordinate plane. (Supporting Standard)


Translation

Reflection

Rotation

Congruent Polygons


38

(G.10)(A) Use congruence transformations to make conjectures and justify properties of geometric figures including figures represented on a coordinate plane. (Supporting Standard)

1. Jerome performs a translation on a

polygon graphed on the coordinate plane

by using . Derek

performs another translation on the same

polygon using .

What single translation could have been

performed on the object so that the same

result would have been achieved?

A.

B.

C.

D.

2. has as its vertices P(8, 2), Q(-2, 2),

R(0, 6), S(-6, 6). It is rotated about the

origin in a clockwise direction. Which of the

following points cannot be one of the

resulting vertices?

F. (2, -2)

G. (6, 6)

H. (2, 8)

J. (6, 0)

3.

For any image reflected over the x-axis, which of the following statements must always be true in

order to maintain congruence?

A. The image keeps the original y-coordinate and the opposite of the x-coordinate.

B. The image keeps the original x-coordinate and the opposite of the y-coordinate.

C. The x-coordinate becomes the y-coordinate and vice versa.

D. The x- and y-coordinates both become their opposites.

4.

For any image reflected over the y-axis, which of the following statements must always be true in

order to maintain congruence?

F. The image keeps the original y-coordinate and the opposite of the x-coordinate.

G. The image keeps the original x-coordinate and the opposite of the y-coordinate.

H. The x-coordinate becomes the y-coordinate and vice versa.

J. The x- and y-coordinates both become their opposites.


39

5.

∆KQT is graphed on the grid. Which of the following best represents an image of ∆KQT

translated 2 units to the left and reflected across the x-axis?


40


41

6. Parallelogram WBMP is shown on the grid below.

If WBMP is reflected across the line y = −x and then translated 4 units down to become

parallelogram W’B’M’P’ , what will be the coordinates of M’ ?

F. (−6, −7)

G. (6, −1)

H. (6, 7)

J. (6, 3)


42


The student applies the concept of congruence to

justify properties of figures and solve problems.

Name: ____________________________________________________

Date: ____________________________________________________

Period: ____________________________________________________

Topic: (G.10)(B) - Justify and apply triangle congruence relationships. (READINESS STANDARD)


Corresponding Angles

Corresponding Sides

Congruent Polygons

Triangle Rigidity


43

(G.10)(B) Justify and apply triangle congruence relationships (READINESS STANDARD)

1. Find the values of x and y.

A. x = 90, y = 47

B. x = 43, y = 47

C. x = 47, y = 43

D. x = 90, y = 43

3. Which theorem or postulate can be used to

prove that ∆CAN is congruent to ∆BNA?

A. SSS

B. ASA

C. AAS

D. SAS

2. Name the theorem or postulate that

lets you conclude

F. SAS

G. ASA

H. AAS

J. none of these

4. If two sides and the included angle of one

triangle are congruent to the two sides and

the included angle of another triangle, then

the triangles are congruent. What theorem or

postulate is being applied?

F. Side-Angle-Side

G. Angle-Side-Angle

H. Side-Side-Side

J. Angle-Angle-Side

ABD CBD.


44

5.

To prove the two triangles congruent by

using the Angle-Side-Angle

Congruence Postulate, what other piece of

information is needed?

A C E

B C D

C A D

D A E

7.

What theorem or postulate could be used to

prove that ∆ABC is congruent to ∆DBC?

A Side Angle Side

B Angle Side Angle

C Side Side Side

D Angle Angle Side

6.

Which theorem or postulate can be used to

prove that ∆ABC is congruent to ∆EDC?

F SAS

G AAS

H ASA

J SSS

8. Which of the following does not refer to a

theorem or postulate used to

prove triangles congruent?

F SAS

G SSA

H ASA

J SSS


45

9. In each pair of triangles, parts are congruent as marked. Which pair of triangles is congruent by

ASA?

A.

C.

B.

D.

10.

What additional information is needed to

prove ∆MNL congruent to ∆PNO by SAS?

F MN PN

G LM OP

H M P

J L O

11.

What additional information is needed to

prove that ∆MNL is congruent to ∆PNO by

ASA?

A MN PN

B LM OP

C M P

D L O

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