Triangle Proofs

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any geometric figure is congruent to itself. For example, segment AB is congruent to segment AB.

Front

What is always the 1st statement in the reason column of a proof?

Back

Given

Front

What does the congruence statement '∆ABC ≅ ∆DEF' imply?

Back

It implies that corresponding sides and angles of triangles ABC and DEF are congruent.

Front

What is the definition of a segment bisector?

Back

A segment bisector is a point, line, ray, or segment that divides a segment into two equal parts.

Front

What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure.

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

What is the Angle-Angle (AA) Postulate?

Back

If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

Front

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

Back

If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the purpose of a proof in geometry?

Back

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

Front

What is the definition of vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always congruent.