Triangle Congruence Proofs

Front

What is the Reflexive Property in triangle congruence?

Back

The Reflexive Property states that a geometric figure is congruent to itself. For any triangle ABC, it holds that ABC ≅ ABC.

Front

What is the Definition of Congruence?

Back

Two figures are congruent if they have the same shape and size, meaning all corresponding sides and angles are equal.

Front

What is CPCTC?

Back

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

Front

What does Theorem 1 state about Congruence of Segments?

Back

Theorem 1 states that the congruence of segments is reflexive, meaning for any segment AB, AB ≅ AB.

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.

Front

What is the Definition of Perpendicular?

Back

Two lines are perpendicular if they intersect to form a right angle (90 degrees).

Front

What is the Definition of a Bisector?

Back

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

Front

What is the Definition of a Midpoint?

Back

The midpoint of a segment is the point that divides the segment into two equal lengths.

Front

What is SSS Congruence?

Back

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

Front

What is SAS Congruence?

Back

SAS Congruence 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 triangles are congruent.