Similar Triangles, SAS

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 triangle 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-Angle-Side (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.

Front

How do you find the measure of an angle in a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees. You can find an unknown angle by subtracting the sum of the known angles from 180.

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

What is the significance of angle gamma in triangle similarity?

Back

Angle gamma is a specific angle that can be used to determine the similarity of triangles based on the AA or SAS criteria.

Front

How can you determine if two triangles are similar using their angles?

Back

If two triangles have two angles that are equal, then the triangles are similar by the Angle-Angle (AA) criterion.

Front

What is the formula for finding the ratio of the sides of similar triangles?

Back

If triangle A is similar to triangle B, then the ratio of the lengths of corresponding sides is equal to the ratio of their corresponding altitudes.

Front

What is the importance of the included angle in the SAS similarity criterion?

Back

The included angle must be equal for the two triangles to be considered similar under the SAS criterion.

Front

How can you use proportions to solve for unknown side lengths in similar triangles?

Back

Set up a proportion using the lengths of corresponding sides and solve for the unknown length.