Triangle Congruence

Front

What is the definition of congruence in geometry?

Back

Congruence in geometry means that two figures have the same shape and size, allowing them to be superimposed on each other.

Front

What does the Reflexive Property state?

Back

The Reflexive Property states that any geometric figure is congruent to itself, i.e., for any segment AB, it holds that AB ≅ AB.

Front

What is the SSS (Side-Side-Side) Congruence Postulate?

Back

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

Front

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

Back

The SAS Congruence Postulate states that 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 ASA (Angle-Side-Angle) Congruence Postulate?

Back

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

Front

What does CPCTC stand for?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent', which is used after proving triangles are congruent.

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 Alternate Interior Angles Theorem?

Back

The Alternate Interior Angles Theorem states that if two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent.

Front

What is the definition of a midpoint?

Back

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

Front

How do you denote congruence between two segments?

Back

Congruence between two segments is denoted using the symbol '≅', for example, AB ≅ CD.