Similar Figures

Are the following similar? Why or why not?

• Yes

• No, the corresponding angles are not equal.

• No, the ratios of the corresponding sides are not equal.

These two triangles are similar to each other. What is measure is angle R?

Mathematical Equivalence

ON

True or False: These two triangles are NOT similar.

• True

• False

All corresponding sides in similar figures are congruent.

• True, the shape and size are the same.

• False, the corresponding sides are PROPORTIONAL.

All angles in similar figures are congruent.  

• True

• False

Are the following similar? Why or why not?

• Yes. All pairs of corresponding angles are congruent.

• No, the corresponding angles are not equal.

• No, the ratios of the corresponding sides are not equal.

Which statement is true?

These two triangles are similar to each other. What is measure is angle Y?

Mathematical Equivalence

ON

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

• 3.75

• 9.75

• 10

• 12

Review the picture.  Find the missing side measurement in the picture using a proportion.

• w = 18 m

• w = 6 m

• 6 m

• w = 0.16 m