Triangle Proof Terminology

Front

What is the Reflexive Property in geometry?

Back

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

Front

What can be concluded if two angles are right angles?

Back

If two angles are right angles, they are congruent to each other.

Front

What does it mean if Z is the midpoint of segment WY?

Back

If Z is the midpoint of segment WY, then WZ = ZY, meaning the segment is divided into two equal parts.

Front

What can be concluded if ∠WZX and ∠YZX are both right angles?

Back

If ∠WZX and ∠YZX are both right angles, then ∠WZX = ∠YZX.

Front

What does it mean if XZ is the bisector of ∠WXY?

Back

If XZ is the bisector of ∠WXY, then ∠WXZ = ∠YXZ, meaning the angle is divided into two equal angles.

Front

What is the definition of a bisector in geometry?

Back

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

Front

What is the definition of a midpoint?

Back

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

Front

What can be concluded if two segments are congruent?

Back

If two segments are congruent, their lengths are equal.

Front

What is the definition of perpendicular lines?

Back

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

Front

What is the significance of congruent angles in triangle proofs?

Back

Congruent angles can be used to establish relationships between triangles, such as proving triangles are similar or congruent.