Ch. 7 Similar Triangle Proofs

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 does AA ~ stand for?

Back

Angle-Angle Similarity; if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What does SSS ~ stand for?

Back

Side-Side-Side Similarity; if the corresponding sides of two triangles are in proportion, the triangles are similar.

Front

What does SAS ~ stand for?

Back

Side-Angle-Side Similarity; 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

What is the Reflexive Property?

Back

A property stating that any geometric figure is congruent to itself; used in proofs involving similar triangles.

Front

What are Corresponding Angles?

Back

Angles that are in the same position on different parallel lines cut by a transversal; they are equal when the lines are parallel.

Front

What are Alternate Interior Angles?

Back

Angles that lie between two parallel lines and on opposite sides of a transversal; they are equal when the lines are parallel.

Front

What is the importance of proving triangles are similar?

Back

It allows us to use the properties of similar triangles to solve problems involving lengths, areas, and other geometric properties.

Front

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

Back

By measuring the lengths of the corresponding sides and checking if the ratios are equal.

Front

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

Back

By measuring the angles of the triangles and checking if two angles are equal.