Similarity and Proportions

Front

If two polygons are similar, then the corresponding angles are ___________.

Back

congruent

Front

If two polygons are similar, then the corresponding side lengths are ___________.

Back

proportional

Front

Solve for x: If the ratio of the sides of two similar triangles is 3:4 and one side of the first triangle is 9, what is the corresponding side of the second triangle?

Back

12

Front

The pair of figures is similar. Find the missing side: If one side of the first figure is 3 and the corresponding side of the second figure is x, and the ratio of their sides is 1:3, what is x?

Back

9

Front

Solve for x: If the ratio of the sides of two similar polygons is 2:5 and one side of the first polygon is 6, what is the corresponding side of the second polygon?

Back

15

Front

Definition: Similar Polygons

Back

Polygons that have the same shape but not necessarily the same size; corresponding angles are equal and corresponding sides are proportional.

Front

Definition: Proportional Sides

Back

Sides of similar figures that maintain a constant ratio.

Front

Example: If Triangle A has sides of lengths 3, 4, and 5, and Triangle B has sides of lengths 6, 8, and 10, are they similar?

Back

Yes, because the sides are in proportion (3:6, 4:8, 5:10).

Front

Definition: Congruent Angles

Back

Angles that have the same measure.

Front

Example: If two triangles are similar and one angle measures 30 degrees, what is the measure of the corresponding angle in the other triangle?

Back

30 degrees.