Triangle Congruence Proofs

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

What does SSS Congruence stand for?

Back

SSS Congruence stands for Side-Side-Side Congruence, which states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What does CPCTC stand for?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent, which is used to prove that corresponding angles and sides of congruent triangles are equal.

Front

What is the definition of congruence in geometry?

Back

In geometry, congruence means that two figures have the same shape and size, and can be made to coincide by rigid motions.

Front

What does AAS Congruence stand for?

Back

AAS Congruence stands for Angle-Angle-Side Congruence, which states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Front

What is the significance of the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

What is the definition of an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length.

Front

What is the definition of an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are of equal length and all three angles are equal to 60 degrees.

Front

What is the Angle-Side-Angle (ASA) Congruence Postulate?

Back

The ASA Congruence Postulate states that if two angles and the side between them in one triangle are equal to two angles and the corresponding side in another triangle, then the triangles are congruent.