Similar Shapes, Corresponding Sides and Angles, Scale Factors

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

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

The two polygons are similar.

Find the value of x

Find the scale factor

Find the ratio of the perimeter.

Value of x: ____, Scale factor: ____, Ratio of perimeter: ____

Evaluate responses using AI:

OFF

If the scale factor is less than one, the new figure will be

• an enlargement

• a reduction

• a scale factor

• bigger

If the scale factor is greater than one, the new figure will be

• reduction

• enlargement

• scale

• not proportional

How do you write the algebraic notation when the scale factor is 1/2?

• (x, y) −> (2x, 2y)

• (x, y) −> (1/2x, 1/2y)

• (x, y) −> (-2x, -2y)

• (x, y) −> (2x, 1/2y)

Similar figures have the same ______ but different ______. 

• measure; shapes

• sizes; shapes

• value; measures

• shape; sizes

Find the scale factor of the dilation. Then tell whether the dilation is a reduction or an enlargement.

• 2 / 5; reduction

• 5 / 2; enlargement

• 2 / 3; reduction

• 3 / 2; enlargement

If two polygons are SIMILAR, then the corresponding angles must be _____.

• Complementary

• Supplementary

• Congruent

• Linear pairs

If two polygons are SIMILAR, then the corresponding sides must be _____.

• Congruent

• Proportional

• Parallel

• similar