7-5 Parts of Similar Triangles

Front

What are similar triangles?

Back

Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is the Angle-Angle (AA) similarity criterion?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

How do you find the missing side length in similar triangles?

Back

Use the proportion of corresponding sides. If triangle A has sides a, b, c and triangle B has sides x, y, z, then a/x = b/y = c/z.

Front

What is the Side-Side-Side (SSS) similarity criterion?

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the Side-Angle-Side (SAS) similarity criterion?

Back

If one angle of a triangle is equal to one angle of another triangle and the sides including those angles are in proportion, then the triangles are similar.

Front

How can you use similar triangles to find heights?

Back

By creating a proportion between the heights and corresponding bases of the triangles formed by the object and its shadow.

Front

If two triangles are similar, what can you say about their perimeters?

Back

The ratio of their perimeters is the same as the ratio of their corresponding side lengths.

Front

What is the relationship between the areas of similar triangles?

Back

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding side lengths.

Front

Given two similar triangles with sides 3 cm and 5 cm, what is the ratio of their sides?

Back

The ratio of their sides is 3:5.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 6 cm and side DE is 9 cm, what is the scale factor?

Back

The scale factor is 6:9 or 2:3.