U2 Review 1: Proofs about Triangles and Quadrilaterals

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a theorem used to prove that two triangles are congruent if two angles and the included side are equal.

Front

What is CPCTC in the context of triangle proofs?

Back

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

Front

What theorem is used to prove triangles are congruent if all three sides are equal?

Back

SSS, which stands for Side-Side-Side, is the theorem used to prove that two triangles are congruent if all three sides of one triangle are equal to the three sides of another triangle.

Front

What theorem is used to prove triangles are congruent if two sides and the included angle are equal?

Back

SAS, which stands for Side-Angle-Side, is the theorem used to prove that two triangles are congruent if two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Front

What theorem is used to prove triangles are congruent if two angles and a non-included side are equal?

Back

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

Front

What is the relationship between opposite angles in a parallelogram?

Back

Opposite angles of a parallelogram are congruent.

Front

What is the relationship between consecutive angles in a parallelogram?

Back

Consecutive angles of a parallelogram are supplementary, meaning they add up to 180 degrees.

Front

What does the HL theorem stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem used to prove that two right triangles are congruent if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.

Front

What is the significance of vertical angles in triangle proofs?

Back

Vertical angles are always congruent, which can be used as a reason in triangle proofs.

Front

How can you determine if two triangles are congruent using the SSS theorem?

Back

To determine if two triangles are congruent using the SSS theorem, measure all three sides of both triangles and check if they are equal.