Geometry: 4.3-4.5 Flashcard Review

Front

What is the Reflexive Property?

Back

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

Front

What additional information is required for two triangles to be congruent by ASA?

Back

For two triangles to be congruent by Angle-Side-Angle (ASA), you need two angles and the included side of one triangle to be congruent to two angles and the included side of another triangle.

Front

What triangle congruence criteria is shown in the given diagram if the hypotenuse and one leg of a right triangle are known?

Back

The criteria is Hypotenuse-Leg (HL) congruence.

Front

What does the statement ∠MNL ≌ ∠ONP indicate?

Back

It indicates that angle MNL is congruent to angle ONP.

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 is the Angle-Side-Angle (ASA) congruence postulate?

Back

The ASA 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 is the Angle-Angle-Side (AAS) congruence postulate?

Back

The AAS postulate states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the definition of perpendicular lines?

Back

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