Similarity Proportions Congruence Slides

The measures of the angles of a triangle are in the extended ratio 4:3:2. What is the measure of the largest angle?

• 20

• 40

• 60

• 80

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

• 3.75

• 9.75

• 10

• 12

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

Are these triangles similar?

• Yes

• No

Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft

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

• Yes. 1.5

• Yes. ⅔

• Yes. 2

• No.

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

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

• ∠A ≅ ∠D

• ∠B ≅ ∠E

• AB ≅ DE

• BC ≅ FD