Congruency and similarity

If two polygons are similar, what can we say about the proportions of their corresponding sides?

• Their corresponding sides are proportional

• Their corresponding sides are not proportional

• Their corresponding sides have different shapes

• Their corresponding sides are perpendicular

If two figures are similar, what can we say about their corresponding (matching) angles?

• Corresponding angles are parallel.

• Corresponding angles are supplementary.

• Corresponding angles are congruent.

What is the meaning of similarity for triangles?

• Triangles with the same area.

• Triangles that look the same.

• Triangles with equal corresponding angles and proportional corresponding sides.

• Triangles with the same perimeter.

Are they similar?

• Similar
• Not similar

If two figures are similar, the corresponding sides ______________.

• are congruent

• have the same ratio

Similar figures are the _______ shape and _______ sizes.

• Same, Different
• Same, Same
• Different, Same
• Different, Different

10.5 Similar Circles Theorem All circles are __________.

Which figure is similar?

• A

• B

• C

• D

All angles in similar figures are congruent (equal).  

• True
• False

Are the two polygons similar? If not, explain why. (They are not drawn to scale, but you can assume all angles are 90°.)

• Yes

• No; Not enough information to tell

• No; 5 ⁄ 25 ≠ 6 ⁄ 10

• No; 5 ⁄ 25 ≠ 8 ⁄ 41