Triangle Congruence

Front

What does ASA stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate used to prove that two triangles are congruent if two sides and the included angle are equal.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate used to prove that two triangles are congruent if all three sides are equal.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate used to prove that two triangles are congruent if two angles and a non-included side are equal.

Front

What is the Reflexive Property?

Back

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

Front

What is the Transitive Property in geometry?

Back

The Transitive Property states that if one figure is congruent to a second figure, and the second figure is congruent to a third figure, then the first and third figures are congruent.

Front

What is the Vertical Angles Theorem?

Back

The Vertical Angles Theorem states that opposite angles formed by two intersecting lines are congruent.

Front

What is the HL (Hypotenuse-Leg) theorem?

Back

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

Front

How can you determine if two triangles are congruent using the ASA postulate?

Back

To determine if two triangles are congruent using the ASA postulate, check if two angles and the included side of one triangle are equal to the corresponding two angles and included side of the other triangle.

Front

How can you determine if two triangles are congruent using the SAS postulate?

Back

To determine if two triangles are congruent using the SAS postulate, check if two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of the other triangle.