Similarity Statement

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

• 3.75

• 9.75

• 10

• 12

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

• Congruent

• Vertical

• Similar

• Complementary 

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

• x = 1

• x = 3

• x = 9

• x = 5

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.

Are the two figures similar?

• yes

• no

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

Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft

Which dimensions would produce a picture frame similar to the one shown above?

• 9 in by 12 in

• 4 in by 5 in

• 6 in by 8 in

• 12 in by 18 in

Do the ratios form a proportion?

• Yes, they form a proportion.

• No, they do not form a proportion.