Similar Triangles

Front

What is the SSS similarity postulate?

Back

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

Front

What is the SAS similarity postulate?

Back

If two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

What is the AA similarity postulate?

Back

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

Front

What does it mean for triangles to be similar?

Back

Triangles are similar if they have the same shape but not necessarily the same size.

Front

How can you determine if two triangles are not similar?

Back

If none of the similarity postulates (AA, SSS, SAS) apply, the triangles are not similar.

Front

What is the relationship between the sides of similar triangles?

Back

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

Front

If triangle A is similar to triangle B, what can be said about their angles?

Back

The corresponding angles of similar triangles are equal.

Front

If the sides of triangle A are 3, 4, and 5, and triangle B is similar to triangle A with a scale factor of 2, what are the lengths of the sides of triangle B?

Back

The sides of triangle B are 6, 8, and 10.

Front

What is the scale factor in similar triangles?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar triangles.

Front

If triangle A has angles of 30°, 60°, and 90°, what are the angles of a triangle similar to A?

Back

The angles will also be 30°, 60°, and 90°.