Triangle Proofs

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any quantity is equal to itself, e.g., AD = AD.

Front

What does the Definition of Midpoint state?

Back

The Definition of Midpoint states that a midpoint divides a segment into two equal parts.

Front

What are Vertical Angles?

Back

Vertical angles are the angles opposite each other when two lines intersect, and they are always congruent.

Front

What is the first statement in the reason column of a proof?

Back

The first statement is always 'Given'.

Front

What does AAS stand for in triangle proofs?

Back

AAS stands for Angle-Angle-Side, a method of proving triangles congruent.

Front

What does SAS stand for in triangle proofs?

Back

SAS stands for Side-Angle-Side, a method of proving triangles congruent.

Front

What does ASA stand for in triangle proofs?

Back

ASA stands for Angle-Side-Angle, a method of proving triangles congruent.

Front

What does HL stand for in triangle proofs?

Back

HL stands for Hypotenuse-Leg, a method of proving right triangles congruent.

Front

What is the significance of congruent angles in triangle proofs?

Back

Congruent angles indicate that two triangles may be similar or congruent, which is essential for proofs.

Front

What is the purpose of a proof in geometry?

Back

The purpose of a proof is to provide a logical argument that demonstrates the truth of a geometric statement.