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Round 1Final

Jeopardy

Copying Angles

Similar

Polygons

Definitions ProofsSurface

Area/

Volume

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

Math 20: Angles and Polygon Review

$100

How do you copy one side length of a triangle?

$100

Scores

Draw a straight line longer than the length you will copy. Label a point on the line that will be one endpoint. Extend your compass to the desired length to be copied and transfer that to the endpoint created.

$200

How can you create a line perpendicular to

another?

$200

Scores

A B

Extend your compass past the midpoint of the line AB. From one endpoint, do

not change the compass length, draw an arc above the line. From the other

endpoint draw an arc on top of the line. Where the two lines intersect use a

straight edge to connect that point to the line AB.

$300

How would you copy the given angle?

$300

Scores

$400

How would you bisect this given angle?

$400

Scores

$500

Explain how to copy a given triangle. *Come up to the board if you wish.

$500

Scores

$100

These are the two characteristics that all similar objects have.

$100

What are equal angles and proportional sides?

Scores

$200

This is why the following two equilateral triangles are

equal.

8cm3cm

Scores

$200

All equilateral triangles are similar because they have

equal angles and proportional sides.

$300

This is the reason we know the following two squares

are similar.

$300

Scores

All squares are similar.

$400

If the two objects are similar this is the length of

the shadow produced by the second tree.

10 cm

16 cm

5 cm

?

$400

What is 6 m?

Scores

$500

15cm

10 cm

9 cm 7 cm

12 cm12 cm

8 cm8 cm

Are the following polygons similar?

$500

Scores

Nope, they sure aren't.

These are the properties of a

bisector.

$100

Scores

$100

A line or plane that cuts an angle, line, or plane in half.

$200

These are the properties of a right triangle.

Scores

$300

Explain vertically opposite angles.

$300

Scores

1

1

< 1 = < 1

$400

Explain the hypotenuse leg postulate.

$400

Scores

In a set of right angle triangles if we know the

hypotenuses and one set of the legs are congruent then the triangles are congruent

as well.

$500

What relationships exist between scale factor, surface area, and volume?

$500

Scores

Scale factor: a:b

Surface Area:a2:b2

Volume: a3:b3

$100

These are the headings of the columns in a two

column deductive proof?

$100

Scores

What is a statement and a

proof?

$200

In a two column deductive proof we always state these

first.

$200

Scores

What is the given?

$300

When provided with diagrams and information we should not only put the given in our two column deductive proof but we should also put it here.

$300

Scores

What is the mark the diagram?

$400

This postulate can be used to prove these two triangles are congruent.

$400

Scores

What is the hypotenuse leg

postulate?

$500

1 1

2 2

This postulate can be used to prove these two triangles are

similar. Explain how it satisfies that postulate.

$500

Scores

What is AAS? We can tell this because

<1=<1, <2=<2, and the reflexive property.

$100

This is the definition of a scale factor.

$100

Scores

What is the ratio of the lengths of corresponding sides of two polygons?

$200

This is the ratio of surface areas between the two

cubes.

5 2

$200

Scores

What is 25:4?

$300

These are the surface areas if the volumes

of two substances are 1000 and 64.

$300

What is 100 and 16?

Scores

$400

If the scale factor of two objects is 1:4 this is what the ratio 1: 64 represents.

$400

What is volume?

Scores

$500

In two solids with corresponding volumes of 125:27 this is the surface area ratio and the scale factor of the two solids.

Scores

$500

What is 25:9 and 5:3?

$100

This postulate states that if two sets of angles in two

triangles are the same then the triangles will be similar

$100

What is the AA Similarity Theorem?

Scores

$200

This is the difference that exists between the angles of a 3 sided to a 4 sided

polygon.

Scores

$200

What is 180° to 360°?

$300

Can these two triangles be proven congruent?

$300

No, although we have a reflexive side a

common angle and another side they must

be corresponding sides.

Scores

$400

10 cm

12 cm

4 cm

This is the length of the large triangle.

Scores

$400

What is 30 cm?(10)(12)

4

$500

C

A

DE

B

This is how we know <D = <C.

$500

Scores

What is alternate interior angles are

congruent?

Scores

Polygon Proofs

Final Jeopary Question

Given: IK is perpendicular to HJ∆ HIJ is isosceles

Prove: HK = KJ

I

J

K

H

H

As a team complete the following two column

deductive proof.

Scores

• StatementsStatements1. 1. ∆∆ HIJ is isosceles HIJ is isosceles

2. IK=HJ2. IK=HJ

3.<HKI is right3.<HKI is right

4. <JKI is right4. <JKI is right

5. <HKI = <JKI5. <HKI = <JKI

6. KI=KI6. KI=KI

7. HI=JI7. HI=JI

8. ∆8. ∆HKI = HKI = ∆∆JKIJKI

9. HK = KJ9. HK = KJ

• ProofProof1. Given1. Given

2. Given2. Given

3. Def'n of perpendicular3. Def'n of perpendicular

4. Def'n of perpendicular4. Def'n of perpendicular

5. 5. Right angles are Right angles are congruentcongruent

6. Reflexive property6. Reflexive property

7. Def'n of isosceles 7. Def'n of isosceles ∆∆

8. HL8. HL

9. CPCTC9. CPCTC