Congruent and Similar Triangles

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate used to prove that two triangles are congruent if two angles and the non-included side of one triangle are equal to the corresponding parts of another triangle.

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It is expressed as: c² = a² + b².

Front

What does AA stand for in triangle similarity?

Back

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

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 in proportion.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate used to prove that two triangles are congruent if two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size. Their corresponding sides and angles are equal.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate used to prove that two triangles are congruent if all three sides of one triangle are equal to the corresponding sides of another triangle.

Front

How can you prove triangles are similar using SSS?

Back

SSS stands for Side-Side-Side similarity, which states that if the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

Front

What is the relationship between the angles of similar triangles?

Back

In similar triangles, corresponding angles are equal.

Front

What is the relationship between the sides of similar triangles?

Back

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