REASONS IN PROOFS

Front

What is the Angle Addition Postulate?

Back

If S is in the interior of angle PQR, then m∠PQS + m∠SQR = m∠PQR.

Front

What does the Angle-Angle-Side Theorem (AAS) state?

Back

If two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

Front

What is the Segment Addition Postulate?

Back

If B is between A and C, then AB + BC = AC.

Front

What does the Subtraction Property state?

Back

If a = b, then a - c = b - c.

Front

What is the Side-Angle-Side Postulate (SAS)?

Back

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

Define the Triangle Angle Sum Theorem.

Back

The sum of the angles in a triangle is always 180 degrees.

Front

What is the definition of congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What does the Side-Side-Side Postulate (SSS) state?

Back

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

Front

What is the definition of a transversal?

Back

A line that intersects two or more lines at different points.

Front

What are alternate interior angles?

Back

Angles that are on opposite sides of the transversal and inside the two lines.