IM2: DL Reasons in Triangle Congruent Proofs

Front

What is the Reflexive Property in geometry?

Back

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

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, which is a postulate that states if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, which is a postulate that states 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 does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, which is a postulate that states 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 is the definition of a midpoint?

Back

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

Front

What is the definition of a segment bisector?

Back

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

Front

What are Vertical Angles?

Back

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

Front

What are Alternate Interior Angles?

Back

Alternate interior angles are pairs of angles that are on opposite sides of a transversal and inside the two lines. If the lines are parallel, these angles are congruent.

Front

What is the definition of bisection in geometry?

Back

Bisection is the process of dividing a geometric figure into two equal parts.

Front

What is the definition of perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees).