Congruence Similarity

The triangles are congruent. Which of the following statements must be true?

• ∠A ≅ ∠D

• ∠B ≅ ∠E

• AB ≅ DE

• BC ≅ FD

The two right triangles below are similar. What is x, the missing side length in triangle DEF? 

• 3.75

• 9.75

• 10

• 12

Are these triangles similar?

• Yes

• No

Are the triangles similar? If so, what is the scale factor from ΔDEF to ΔABC?

• Yes. 1.5

• Yes. ⅔

• Yes. 2

• No.

Which is the correct way to write a congruency statement about the two figures shown?

• FED ~ TSR

• FED ~ RST

• FED ~ STR

• FED ~ RTS

• They are all correct.

Which relationships could be the two missing statements? Select the two that apply.

• ∠2≅∠3

• ∠𝐴≅∠𝐴

• Δ𝐴𝐵𝐸~Δ𝐴𝐶𝐷

• Δ𝐸𝐴𝐵~Δ𝐶𝐴𝐷

If AC≅PR what other piece of information do you need to prove the triangles are ≅ by HL Theorem?

• AC≅PR

• BC≅QR

• <A≅<P

• <C≅<R

Do the ratios form a proportion?

• Yes, they form a proportion.

• No, they do not form a proportion.

Solve for x

• x=6

• x =1/6

• x = 7

• x=9

∆ABC≅∆XYZ
which is true?

• AB≅XY

• AB≅YX

• AB≅XZ

• BC≅CB