Project About Similarity and Congruence

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

• 3.75

• 9.75

• 10

• 12

Tags

CCSS.HSG.SRT.A.2

The pair of figures is similar. Find the missing side.

• x = 1

• x = 3

• x = 9

• x = 5

Tags

CCSS.HSG.SRT.A.2

Tell whether the two figures are similar. Explain your reasoning.

• Yes, similar because they are the same shape and side lengths are proportional.

• No, not similar because they are the same shape, but side lengths are not proportional.

• Yes, same shape

• No, different sizes

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Are these triangles similar?

• Yes

• No

Tags

CCSS.HSG.SRT.A.2

Match the congruent sides and angles.

• < E

• < D

• BC

• < B

• < C

• < A

• DE

• AC

• < F

• DF

Tags

CCSS.HSG.CO.B.7

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

• Yes. 1.5

• Yes. ⅔

• Yes. 2

• No.

Tags

CCSS.HSG.SRT.A.2

Do the ratios form a proportion?

• Yes, they form a proportion.

• No, they do not form a proportion.

Tags

CCSS.7.RP.A.2A

∆ABC≅∆XYZ
which is true?

• AB≅XY

• AB≅YX

• AB≅XZ

• BC≅CB

Tags

CCSS.8.G.A.2

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

• ∠A ≅ ∠D

• ∠B ≅ ∠E

• AB ≅ DE

• BC ≅ FD

Tags

CCSS.8.G.A.2

Two objects that are the same shape but not the same size are _______.

• Congruent

• Vertical

• Similar

• Complementary 

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6