Triangle Congruence Flashcard

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 equal to two sides and the included angle of another triangle.

Front

What is the AAS criterion for 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 equal to two angles and the corresponding non-included side of another triangle.

Front

Define the SSS criterion for triangle congruence.

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are equal to all three sides of another triangle.

Front

What is the HL theorem in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a criterion for triangle congruence applicable to right triangles, stating that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself, meaning that for any triangle ABC, triangle ABC is congruent to triangle ABC.

Front

Explain the concept of vertical angles.

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always congruent.

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that lie on opposite sides of a transversal and inside two parallel lines. They are congruent when the lines are parallel.

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 figure is congruent to the third figure.

Front

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

Back

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

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles have the same size and shape, which means their corresponding sides and angles are equal, allowing for various applications in proofs and real-world problems.