Triangle Proofs Flashcard

Front

What is the definition of congruent segments?

Back

Two segments are congruent if they have the same length.

Front

What is the reflexive property of equality?

Back

For any segment AB, AB = AB.

Front

What does it mean for angles to be congruent?

Back

Two angles are congruent if they have the same measure.

Front

What is the definition of a midpoint?

Back

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

Front

What is the definition of a bisector?

Back

A bisector is a line, ray, or segment that divides another segment or angle into two equal parts.

Front

What is the Angle-Angle (AA) similarity postulate?

Back

If two angles of one triangle are congruent to two angles of another triangle, the triangles are similar.

Front

What is the Side-Angle-Side (SAS) congruence postulate?

Back

If two sides of a triangle are congruent to two sides of another triangle and the included angles are congruent, the triangles are congruent.

Front

What is the Side-Side-Side (SSS) congruence postulate?

Back

If all three sides of one triangle are congruent to all three sides of another triangle, the triangles are congruent.

Front

What is the definition of vertical angles?

Back

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

Front

What is the definition of complementary angles?

Back

Two angles are complementary if the sum of their measures is 90 degrees.