Exploring Similar Polygons and Their Properties

What does it mean when two polygons are similar?

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

• Their corresponding angles are different and their corresponding sides are equal.

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

• Their corresponding angles are different and their corresponding sides are proportional.

If angle A in polygon ABCD is congruent to angle W in polygon WXYZ, what can be said about these angles?

• Angle A is unrelated to angle W.

• Angle A is half of angle W.

• Angle A is equal to angle W.

• Angle A is twice angle W.

Given that AB is 6 and WX is 3, what is the scale factor from polygon ABCD to polygon WXYZ?

• 0.5

• 3

• 2

• 1

If BC is 4 and XY is 2, what is the scale factor from polygon ABCD to polygon WXYZ?

• 0.5

• 1

• 2

• 3

In similar triangles ABC and XYZ, if angle A is 90 degrees and angle Z is 23 degrees, what is the measure of angle C?

• 180 degrees

• 67 degrees

• 90 degrees

• 23 degrees

What is the scale factor between triangles ABC and XYZ if AB is 10 and XY is 7?

• 10/7

• 7/10

• 1

• 2

If AC is 21 and the scale factor is 10/7, what is the length of side T?

• 10

• 15

• 21

• 30

In the second quadrilateral example, if AB is 3 and WX is 2, what is the scale factor?

• 3/2

• 2

• 2/3

• 1

If T times 3/2 equals 15, what is the value of T?

• 10

• 15

• 20

• 5

If the corresponding side is 4 and the scale factor is 3/2, what is the length of side H?

• 4

• 6

• 8

• 2