Intro to Proofs Review

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if they intersect at a right angle (90 degrees).

Front

What is the definition of a midpoint?

Back

A midpoint is a point that divides a line segment into two equal parts.

Front

What does the ASA triangle congruence theorem state?

Back

The ASA (Angle-Side-Angle) theorem states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Front

What is the definition of congruence in geometry?

Back

Congruence means that two figures have the same shape and size, and can be made to coincide by rigid transformations (translations, rotations, reflections).

Front

What is the Transitive Property?

Back

The Transitive Property states that if a = b and b = c, then a = c.

Front

What is the Substitution Property?

Back

The Substitution Property states that if two quantities are equal, one can be substituted for the other in any expression.

Front

What does the SSS triangle congruence theorem state?

Back

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

Front

What does the SAS triangle congruence theorem state?

Back

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

Front

What does the AAS triangle congruence theorem state?

Back

The AAS (Angle-Angle-Side) theorem states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

Front

Back