Triangle Proofs

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.

Tags

CCSS.8.G.A.5

Front

What is the reflexive property?

Back

A property stating that any geometric figure is congruent to itself (e.g., AB ≅ AB).

Front

What does 'Given' mean in a proof?

Back

The information provided at the start of a proof that is accepted as true without proof.

Front

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

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.

Tags

CCSS.HSG.SRT.B.5

Front

What is the ASA (Angle-Side-Angle) postulate?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the AAS (Angle-Angle-Side) postulate?

Back

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 triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the definition of bisect?

Back

To divide an angle or a segment into two equal parts.

Front

What are vertical angles?

Back

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

Tags

CCSS.7.G.B.5

Front

What are consecutive angles?

Back

Angles that are on the same side of a transversal and between the two lines it intersects.