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) criterion for similarity?

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) criterion for similarity?

Back

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

Front

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

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

If triangle A is similar to triangle B, and the length of a side of triangle A is 6 cm, what is the corresponding side length in triangle B if the ratio of similarity is 2:1?

Back

The corresponding side length in triangle B is 3 cm.

Front

What are corresponding angles in similar triangles?

Back

Angles in two triangles that are in the same relative position.

Front

What are corresponding sides in similar triangles?

Back

Sides in two triangles that are in the same relative position and are proportional.

Front

If triangle A has sides of lengths 3 cm, 4 cm, and 5 cm, what are the lengths of the sides of triangle B if it is similar to triangle A with a ratio of 3:2?

Back

The lengths of the sides of triangle B are 1.8 cm, 2.4 cm, and 3 cm.

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 two triangles are similar and the ratio of their corresponding sides is 4:3, what is the ratio of their areas?

Back

The ratio of their areas is 16:9.