Similar Triangles Practice

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 does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle, a criterion for triangle similarity where two angles of one triangle are equal to two angles of another triangle.

Front

What does SAS stand for in triangle similarity?

Back

SAS stands for Side-Angle-Side, a criterion for triangle similarity where two sides of one triangle are proportional to two sides of another triangle, and the included angle is equal.

Front

What does SSS stand for in triangle similarity?

Back

SSS stands for Side-Side-Side, a criterion for triangle similarity where all three sides of one triangle are proportional to the three sides of another triangle.

Front

How do you determine if two ratios are proportional?

Back

Two ratios are proportional if the cross products are equal.

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The lengths of their corresponding sides are in proportion.

Front

What is the relationship between the areas of two similar triangles?

Back

The ratio of their areas 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 AB is 6 cm and DE is 9 cm, what is the ratio of their sides?

Back

The ratio of their sides is 6:9 or 2:3.

Front

How can you find the height of an object using similar triangles?

Back

By creating a proportion using the height of a known object and the lengths of their corresponding sides.

Front

What is the significance of the corresponding angles in similar triangles?

Back

Corresponding angles in similar triangles are equal, which is a key property used to establish similarity.