Congruent triangle review

Front

What does the HL theorem state about triangle congruence?

Back

The HL (Hypotenuse-Leg) theorem states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Front

Define the SSS congruence theorem.

Back

The SSS (Side-Side-Side) theorem states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What is the SAS congruence theorem?

Back

The SAS (Side-Angle-Side) theorem states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

Explain the AAS congruence theorem.

Back

The AAS (Angle-Angle-Side) theorem 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 two triangles are congruent.

Front

What is the Reflexive Property in geometry?

Back

Front

What does the Transitive Property state in the context of triangle congruence?

Back

The Transitive Property states that if triangle A is congruent to triangle B, and triangle B is congruent to triangle C, then triangle A is congruent to triangle C.

Front

What is the Vertical Angles Theorem?

Back

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

Front

How can you prove triangles are congruent using the SSS theorem?

Back

To prove triangles are congruent using the SSS theorem, show that all three corresponding sides of the triangles are equal in length.

Front

What is the significance of marking angles and sides in triangle congruence proofs?

Back

Marking angles and sides helps to visually represent the congruence relationships and is essential for applying congruence theorems.

Front

What is the difference between ASA and AAS?

Back

ASA (Angle-Side-Angle) requires two angles and the included side to be equal, while AAS (Angle-Angle-Side) requires two angles and a non-included side to be equal.