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 Angle-Angle (AA) similarity criterion?

Back

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

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 these angles are in proportion, then the triangles are similar.

Front

How do you find the length of a side in similar triangles?

Back

Use the proportion of the corresponding sides of the triangles to set up a ratio and solve for the unknown length.

Front

If triangle ABC is similar to triangle DEF, and AB = 10, DE = 5, what is the ratio of their areas?

Back

The ratio of their areas is the square of the ratio of their corresponding sides. (10/5)² = 4.

Front

What is the relationship between the ratios of corresponding sides of similar triangles?

Back

The ratios of the lengths of corresponding sides of similar triangles are equal.

Front

If two triangles are similar and the length of one side of the first triangle is 12 and the corresponding side of the second triangle is 8, what is the scale factor?

Back

The scale factor is 12:8 or 3:2.

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Front

If the sides of triangle XYZ are in the ratio 3:4:5, what type of triangle is it?

Back

It is a right triangle, as it follows the Pythagorean theorem.