Proving Similarity in Shapes

What is the condition for two polygons to be considered similar?

• Their corresponding sides are equal and their areas are equal.

• Their corresponding angles are proportional and corresponding sides are congruent.

• Their corresponding angles are congruent and corresponding sides are proportional.

• Their corresponding angles are congruent and corresponding sides are equal.

In the example given, what is the ratio of the sides AB to DE?

• 2/3

• 1/3

• 1/2

• 3/4

What is the scale factor if a figure is being enlarged?

• Equal to zero

• Greater than one

• Equal to one

• Less than one

If the side QR of a figure is 15 and the corresponding side HI of another figure is 5, what is the scale factor?

• 2

• 4

• 1

• 3

What is the scale factor from square ABCD to EFGH if the side of ABCD is 6 and the side of EFGH is 10?

• 5/3

• 2/3

• 3/2

• 3/5

Given that ABCD is similar to EFGH with a scale factor of 1/2, what is the value of x if DC is 13 and HG is x?

• 6.5

• 26

• 13

• 20

In the example, what is the similarity statement for the triangles WYX and SUT?

• Triangle WYX is similar to triangle UTS

• Triangle WYX is similar to triangle TUS

• Triangle WYX is similar to triangle SUT

• Triangle WYX is similar to triangle STU

If the scale factor between two similar triangles is 2/3 and the side AB of the first triangle is 6, what is the length of the corresponding side XY in the second triangle?

• 4

• 8

• 12

• 9

What is the length of side YZ if BC is 8 and the scale factor is 2/3?

• 8

• 6

• 12

• 10

If AC is 10 and the scale factor is 2/3, what is the length of side XZ?

• 10

• 8

• 15

• 12