7.5 Parts of Similar Triangles Worksheet

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 AA criterion for similarity?

Back

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

Front

How do you find the height of a triangle using similar triangles?

Back

You can set up a proportion using the corresponding sides of the similar triangles to solve for the unknown height.

Front

What is the formula for the ratio of the areas of two similar triangles?

Back

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

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 8 cm, what is the ratio of their sides?

Back

The ratio of their sides is 1:2.

Front

What is the concept of proportionality in similar triangles?

Back

In similar triangles, the lengths of corresponding sides are proportional to each other.

Front

Solve for x: If triangle ABC is similar to triangle DEF, and AB/DE = 2/3, find x if DE = 12 cm and AB = x cm.

Back

x = 8 cm.

Front

What is the significance of corresponding angles in similar triangles?

Back

Corresponding angles in similar triangles are equal, which helps establish the similarity of the triangles.

Front

If two triangles have sides in the ratio 3:5, what can be said about their areas?

Back

The ratio of their areas will be 9:25, since area ratios are the square of the side ratios.

Front

Solve for x: If triangle ABC is similar to triangle DEF and the lengths of sides are in the ratio 4:5, find x if side AC = 20 cm.

Back

x = 25 cm.