Triangle Congruence and Proof - Final Review Practice Day 3

Front

What is Triangle Congruence?

Back

Triangle Congruence refers to the condition where two triangles are considered congruent if their corresponding sides and angles are equal.

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence stating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What is the Reflexive Property of Congruence?

Back

The Reflexive Property of Congruence states that any geometric figure is congruent to itself.

Front

What is the Vertical Angles Congruence Theorem?

Back

The Vertical Angles Congruence Theorem states that if two angles are vertical angles, then they are congruent.

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

If ∆ABC ≅ ∆DEF, what can we conclude about their corresponding angles?

Back

We can conclude that ∠A ≅ ∠D, ∠B ≅ ∠E, and ∠C ≅ ∠F.

Front

What is the definition of a midpoint?

Back

A midpoint is a point that divides a segment into two equal parts.

Front

What is the significance of congruent segments in triangle proofs?

Back

Congruent segments are used to establish that two triangles are congruent by showing that corresponding sides are equal.

Front

What is the purpose of a proof in geometry?

Back

The purpose of a proof in geometry is to provide a logical argument that establishes the truth of a geometric statement.