Triangle Congruence

Front

What is Triangle Congruence?

Back

Triangle Congruence refers to the condition where two triangles are considered congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What are the three main criteria for triangle congruence?

Back

The three main criteria for triangle congruence are: 1) Side-Side-Side (SSS), 2) Side-Angle-Side (SAS), 3) Angle-Side-Angle (ASA).

Front

What does the Side-Side-Side (SSS) criterion state?

Back

The SSS criterion states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What does the Side-Angle-Side (SAS) criterion state?

Back

The SAS criterion states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What does the Angle-Side-Angle (ASA) criterion state?

Back

The ASA criterion states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent.

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself, meaning for any triangle ABC, triangle ABC is congruent to triangle ABC.

Front

What is the Symmetric Property in geometry?

Back

The Symmetric Property states that if one figure is congruent to another, then the second figure is congruent to the first. For example, if triangle ABC is congruent to triangle DEF, then triangle DEF is congruent to triangle ABC.

Front

What is the Transitive Property in geometry?

Back

The Transitive Property states that if one figure is congruent to a second figure, and the second figure is congruent to a third figure, then the first figure is congruent to the third figure.

Front

What is an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length, which also means the angles opposite those sides are equal.

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.