7.2-7.4 Similar Triangles

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

What does AA similarity criterion stand for?

Back

AA stands for Angle-Angle similarity criterion, which states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What does SSS similarity criterion stand for?

Back

SSS stands for Side-Side-Side similarity criterion, which states that if the corresponding sides of two triangles are in proportion, the triangles are similar.

Front

What does SAS similarity criterion stand for?

Back

SAS stands for Side-Angle-Side similarity criterion, which states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

If two triangles are similar, what can be said about their corresponding angles?

Back

The corresponding angles of similar triangles are congruent.

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The corresponding sides of similar triangles are in proportion.

Front

How can you determine if two triangles are similar using the SSS criterion?

Back

To determine if two triangles are similar using the SSS criterion, check if the ratios of the lengths of their corresponding sides are equal.

Front

How can you determine if two triangles are similar using the AA criterion?

Back

To determine if two triangles are similar using the AA criterion, check if two angles of one triangle are equal to two angles of another triangle.

Front

How can you determine if two triangles are similar using the SAS criterion?

Back

To determine if two triangles are similar using the SAS criterion, check if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal.

Front

What is the relationship between the heights of similar triangles?

Back

The heights of similar triangles are proportional to the lengths of their corresponding bases.