Similar Triangle Postulates & Proofs

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 the lengths of their corresponding sides are proportional.

Front

What is the Angle-Angle (AA) similarity postulate?

Back

The Angle-Angle (AA) similarity postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

Front

What is the Side-Angle-Side (SAS) similarity theorem?

Back

The Side-Angle-Side (SAS) similarity theorem states that if an angle of one triangle is congruent to an angle of another triangle and the sides including those angles are in proportion, then the triangles are similar.

Front

What is the Side-Side-Side (SSS) similarity theorem?

Back

The Side-Side-Side (SSS) similarity theorem states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What does it mean for angles to be congruent?

Back

Two angles are congruent if they have the same measure.

Front

What is the significance of a bisector in a triangle?

Back

A bisector in a triangle divides an angle into two equal parts, creating two congruent angles.

Front

How do you find the value of x in similar triangles?

Back

To find the value of x in similar triangles, set up a proportion using the lengths of corresponding sides and solve for x.

Front

What is the first step in proving triangles are similar?

Back

The first step in proving triangles are similar is to establish that at least one pair of corresponding angles is congruent.

Front

What is the relationship between corresponding angles in similar triangles?

Back

In similar triangles, corresponding angles are equal.

Front

What is the relationship between corresponding sides in similar triangles?

Back

In similar triangles, the lengths of corresponding sides are proportional.