Congruent Triangles Review

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate that states if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate that states 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, the triangles are congruent.

Front

What is 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

If triangle PQR is equilateral, what is the measure of each angle?

Back

Each angle in an equilateral triangle measures 60 degrees.

Front

Given ΔPQR ≅ ΔLJK, if PR = 2x + 6 and JL = 10, what is the value of x when the triangles are congruent?

Back

x = 2.

Front

If LK = 3x - 6 and PR = 10, what is the value of x?

Back

x = 4.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

How can you determine if two triangles are congruent?

Back

You can determine if two triangles are congruent by using congruence postulates such as SSS, ASA, AAS, or by showing that all corresponding sides and angles are equal.

Front

What is the significance of the included angle in ASA?

Back

In ASA, the included angle is the angle between the two sides being considered, and it is crucial for establishing congruence.