triangle congruence proofs1

Front

What does the HL criterion stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, which is a criterion used to prove the congruence of two right triangles if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.

Front

What is the ASA criterion in triangle congruence?

Back

ASA stands for Angle-Side-Angle, which states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

Define the AAS criterion in triangle congruence.

Back

AAS stands for Angle-Angle-Side, which states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which does not guarantee triangle congruence. It can lead to ambiguous cases where two different triangles can be formed.

Front

Explain the Vertical Angles Theorem.

Back

The Vertical Angles Theorem states that when two lines intersect, the opposite (or vertical) angles are equal.

Front

What is the definition of an Angle Bisector?

Back

An Angle Bisector is a line or ray that divides an angle into two equal parts.

Front

What does CPCTC stand for in triangle proofs?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent, which is used to conclude that corresponding sides and angles of congruent triangles are equal.

Front

Back

Front

What is the Reflexive Property in triangle congruence?

Back

The Reflexive Property states that any geometric figure is congruent to itself, which is often used in proofs involving shared sides.

Front

State the Alternate Interior Angles Theorem.

Back

The Alternate Interior Angles Theorem states that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are equal.