Congruent Triangle Proofs

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 Reflexive Property state?

Back

Any geometric figure is congruent to itself.

Front

What is the AAS congruence criterion?

Back

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

Front

What is the SAS congruence criterion?

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

What is the SSS congruence criterion?

Back

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

Front

What are Alternate Interior Angles?

Back

Angles that are on opposite sides of a transversal and inside the two lines it intersects; they are congruent when the lines are parallel.

Front

What are Vertical Angles?

Back

Angles that are opposite each other when two lines intersect; they are always congruent.

Front

What is the definition of a Segment Bisector?

Back

A line, ray, or segment that divides another segment into two equal parts.

Front

What is the definition of a Midpoint?

Back

The point that divides a segment into two equal segments.

Front

What is the definition of Alternate Exterior Angles?

Back

Angles that are on opposite sides of a transversal and outside the two lines it intersects; they are congruent when the lines are parallel.