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 criterion for triangle similarity?

Back

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

Front

What is the SSS criterion for triangle similarity?

Back

If the lengths of the corresponding sides of two triangles are in proportion, then the triangles are similar (SSS ~).

Front

What is the SAS criterion for triangle similarity?

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 (SAS ~).

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 side.

Front

What is the formula for finding the width of a gymnasium on a blueprint given its actual dimensions?

Back

Width on blueprint = (Actual width / Actual length) * Length on blueprint.

Front

If triangle ABC is similar to triangle DEF, what can be said about their corresponding angles?

Back

The corresponding angles of triangle ABC and triangle DEF are equal.

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

How can you determine if two triangles are not similar?

Back

If the corresponding angles are not equal or the ratios of the corresponding sides are not equal, the triangles are not similar.

Front

What is the significance of the similarity statement ΔLMN ∼ ΔPQO?

Back

It indicates that triangle LMN is similar to triangle PQO, meaning their corresponding angles are equal and their sides are in proportion.