2011-2012 Geometry Midterm Review. Categories 200 – Algebra 200 – Area and Perimeter 200 –...

2011-2012 GeometryMidterm Review

Categories

200 – Algebra

200 – Area and Perimeter

200 – Similar and Congruent

200 – Trig and Law of Sines

200 – Lines and Angles

200 – Triangle Misc

200 – Yee Potpourri

Lines and Angles

Area and Perimeter

Trig and Law of Sines

Similar, Congruent, P-Thag

Triangle Misc.

Yee Potpourri

100 100 100 100 100 100

200 200 200 200 200 200

300 300 300 300 300 300

400 400 400 400 400 400

500 500 500 500 500 500

Final Jeopardy Final Jeopardy

Lines and Angles

<1 and <5 are ______ angles. (name the

angle-pair relationship)

243

15 6

78

100 – Lines and Angles

Find the value of x in the diagram.

120

40

X

200 – Lines and Angles

What is the value of x in the diagram

below?

2x + 30 3x - 10

300 – Lines and Angles

Solve for x:

5x - 14 3x + 2

400 – Lines and Angles

500 – Lines and Angles

A line goes through the points (5, -1) and (7, -5).

The slope of line perpendicular to that

line is ______.

Area and Perimeter

What is the perimeter of the square below?

2x - 3

100 – Area and Perimeter

The rectangle below has a width of 10 meters and a length of 20 meters. If

the four triangles are removed as shown, what will be the area of the

remaining figure?

4 m

4 m

4 m

4 m

4 m 4 m

4 m 4 m

200 – Area and Perimeter

Find the area of the trapezoid below:

8 in 10 in

16 in

12 in

7 in

300 – Area and Perimeter

The area of ABC is:

A

B

C

3

4 5

8

400 – Area and Perimeter

What is the area of the square below?

8 in.

500 – Area and Perimeter

Trig and Law of Sines

Set up a correct trig equation to solve for x in the triangle below.

Do NOT solve it.

X

40

60

100 – Trig and Law of Sines

Solve for x in the diagram below.

32

10

X

200 – Trig and Law of Sines

5

In the figure below, sin , what13

are the values for cos and tan x?

x

x

x

x

300 – Trig and Law of Sines

Solve for x

20

x

110

30

400 – Trig and Law of Sines

Set up a correct trig equation to solve for x in the triangle below.

35

45

13

X

500 – Trig and Law of Sines

Similar, Congruent, and P-Thag

100 – Similar, Congruent, and P-Thag

Given the triangles below, what conjecture would be

used to show ∆DEF~∆TRV?

12

78

15

87810

F

D

E

T

R

V

A right triangle has legs of length 7 and 3. What is the length of

the hypotenuse?

200 – Similar, Congruent, and P-Thag

A right triangle has a hypotenuse of 5 and one leg with length of 2. What is the length of the other

leg?

300 – Similar, Congruent, and P-Thag

Given ∆JKL is congruent to ∆PTV, name all of the parts that you know are congruent.

400 – Similar, Congruent, and P-Thag

500 – Similar, Congruent, and P-Thag

Given ∆ABC~∆WYZ, what is the value of x?

10

13

5

4

XA

B

C

Y

W

Z

Triangle Miscellaneous

What are the possible values for n that will still

form a triangle?

n

1812

100 – Triangle Misc

The measure of is . . . B

B

A C

5x

3x 4x

200 – Triangle Misc

What is the measure of angle A?

2x + 20

4x - 30

B

C

A

300 – Triangle Miscellaneous

2x+20

4x-30

Which of the following lengths CANNOT form a triangle? (There

could be more than 1 right answer.)

I. 3,4,6

II. 5, 6, 13

III. 6, 7, 13

400 – Triangle Misc

Given isosceles triangle ABC with AB = BC. If <A = 2x +10 and <B = 6x – 20, what is the measure

of <C?

500 – Triangle Misc

Yee Potpourri

In what month is Mr. Yee’s birthday?

100 – Yee Potpourri

Name the state where most of Mr. Yee’s family lives.

200 – Yee Potpourri

What make or model of car does Mr. Yee drive?

300 – Yee Potpourri

What is Mr. Yee’s wife’s name?

400 – Yee Potpourri

• What type of major surgery did Mr. Yee have?

500 – Yee Potpourri

Final Jeopardy -- Algebra

• Secretly write down your final bet and hand it to me.

Triangles and AlgebraThe perimeter of ∆ABC is 56 cm. What is the

length of AB?

2x + 64x - 4

7055

C

B A

4x-4 2x+6

55 70

Final Jeopardy – Area and Algebra

• Secretly write down your final bet and hand it to me.

What is the area of the square below (in

terms of x)?

2x - 3

Final Jeopardy -- Area and Algebra

2x-3

Unused

A line goes through the points (-4,6) and (10,-1).

Another point on the line is:A)(-12,10)B)(-12,22)C)(-12, 2)D)(-12,15)

Given parallel lines are cut by a transversal,

corresponding angles are ________.

200 – Lines and Angles

Give an equation in slope intercept form of a line

perpendicular to 2

63

y x

200 -- Lines

500 – Area and Perimeter

Given the system,

what is the value of a + b?

2 3

3 2 8

a b

a b

What is the measure of b in the picture

below?

30

b

12a

200 – Triangle Misc

In the figure below, n is a whole number. What is the smallest

possible value for n that will still form a triangle?

18

n12

200 – Triangle Misc