triangle congruence proofs1

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

Front

What is CPCTC in triangle proofs?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent, used to conclude that corresponding angles or sides are equal after proving triangles are congruent.

Front

Define the Angle Bisector Theorem.

Back

The Angle Bisector Theorem states that the angle bisector of an angle in a triangle divides the opposite side into segments that are proportional to the lengths of the other two sides.

Front

What is the Reflexive Property?

Back

Front

Explain the definition of a Midpoint.

Back

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

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle.

Front

What is the definition of congruent triangles?

Back

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

Front

What is the significance of the HL theorem?

Back

The HL theorem, or Hypotenuse-Leg theorem, states that in right triangles, if the hypotenuse and one leg of one triangle are congruent to the hypotenuse and one leg of another triangle, then the triangles are congruent.

Front

What does the term 'corresponding angles' mean?

Back

Corresponding angles are angles that are in the same position at each intersection where a straight line crosses two others.

Front

Define the term 'triangle congruence'.

Back

Triangle congruence refers to the condition where two triangles are identical in shape and size, allowing for the use of congruence criteria to prove their equality.