Needed Theorems
Triangle Cong./Sim.
Proofs
Similar Figures
Miscellaneous
100

x = 25

100

If ABC~DEF and m<B = 7x+8 while m<E = 5x+32, find x.  

x = 12

100

Fill in the missing reason in the following proof, be careful to go off of the information already stated. 

SAS

100

If the similarity ratio of two figures is a to b, what are the corresponding perimeter and area ratios?

a to b, and 

a^2:b^2

100

100 points to every team who can write out the lyrics to the chorus of the FUN song from Spongebob. 

F is for Friends who do stuff together 

U is for you and me 

N is for anywhere at anytime at all

down here in the deep blue sea!

200

x=7

200

Name all 5 triangle congruence postulates. 

SAS, SSS, AAS, ASA, and HL 

200

What would be the statement for #4? I am going to be picky about notation and corresponding parts. 

MN = ON 

200

What are the four triangle similarity postulates?

AA, HL, SAS, and SSS

200

x=2

300

Solve for x and y. 

x=30 and y=120

300

What two congruence postulates could you use to prove these triangles congruent? You must list both. 

ASA and AAS

300

ANY team that can effectively complete the following proof will earn 300 points! You have 3 minutes. 

Answers will vary 

300

The similarity ratio of two sheets of metal is 4 to 5. If the smaller piece costs $9, what is the cost of the larger piece? Round appropriately (think money) to receive full credit. 

$14.06

300

Solve for y. 

y = 32

400

Solve for x. 

x = -2

400

If x = 3, are the triangles congruent? If so, state the triangle congruence postulate that you could use to prove it. 

Yes, HL

400

What would be the reason for #7?

CPCTC

400

Mrs. Madison is standing outside with her pet giraffe, Charles. If Charles (who is 16 feet, 8 inches tall) casts a 260 inch shadow, how long will Mrs. Madison's shadow be if she is 5 feet, 10 inches?

Your final answer must be in feet, inches format to receive credit. 

7 feet, 7 inches 

400

2sqrt10

500

Two side lengths of a triangle are 7 and 12. Write a compound inequality describing possible lengths for the third side. Notation matters here, so be careful. 

5 < x < 19 

500

Yes; SSS (sides are proportional); ZYG is congruent to BRP; 1/2

500

List what goes with numbers 1-5. 

1. Given 

2. PQ // ST 

3. Alternate Interior 

4. Vertical Angles 

5. PRQ is congruent to TRS

500

A triangle's angles are in a ratio of 3:5:7, what are all three angle measures? 

36, 60, and 84

500

Solve for x. 

(x+3)/4=11/(x-4)

x = 7, -8

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