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 AA~ postulate?

Back

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

Front

What is the SAS~ 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 SSS~ postulate?

Back

If the three sides of one triangle are in proportion to the three sides of another triangle, then the triangles are similar.

Front

How do you determine if triangles are similar?

Back

By using the AA~, SAS~, or SSS~ postulates.

Front

If triangle A has sides of length 3, 4, and 5, and triangle B has sides of length 6, 8, and 10, are they similar?

Back

Yes, they are similar by SSS~ postulate.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

If two triangles have one angle of 60 degrees and the other two angles are equal, what can be said about their similarity?

Back

They are similar by AA~ postulate.

Front

If triangle A is similar to triangle B, and the length of side AB is 10 cm, what is the length of side corresponding to AB in triangle B if the ratio of similarity is 2:1?

Back

The length of the corresponding side in triangle B is 5 cm.

Front

What is a scale factor in similar triangles?

Back

The ratio of the lengths of corresponding sides of similar triangles.