Triangle Proofs

Front

What is the SSA condition in triangle congruence?

Back

SSA (Side-Side-Angle) is NOT a valid test for triangle congruence because it can lead to ambiguous cases where two different triangles can be formed.

Front

What are 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 between two parallel lines and on opposite sides of a transversal. They are congruent.

Front

What is the Hypotenuse-Leg (HL) theorem?

Back

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

Front

What is the Reflexive Property?

Back

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

Front

What is the SSS condition in triangle congruence?

Back

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

Front

What is the SAS condition in triangle congruence?

Back

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

Front

What is CPCTC?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent.' It is used after proving triangles are congruent to show that their corresponding parts are also congruent.

Front

What is the significance of right triangles in proofs?

Back

Right triangles are significant in proofs because they allow the use of specific theorems like HL, and properties such as the Pythagorean theorem.

Front

What are Corresponding Angles?

Back

Corresponding angles are angles that are in the same position on two parallel lines in relation to a transversal. They are congruent.