4.6 CPCTC Proofs

Front

What does CPCTC stand for?

Back

Corresponding parts of congruent triangles are congruent.

Tags

CCSS.HSG.CO.B.7

Front

When do you use CPCTC in a proof?

Back

At the end of the proof, after showing the triangles are congruent, to show that an additional part (side/angle) are now congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What postulate would prove triangle ∆NYQ is congruent to ∆PYQ?

Back

SSS (Side-Side-Side) Postulate.

Tags

CCSS.HSG.SRT.B.5

Front

Are the triangles congruent if the only information given is the angles?

Back

Not Congruent (AAA does not prove congruence).

Tags

CCSS.8.G.A.2

Front

What is the ASA postulate?

Back

Angle-Side-Angle postulate states that if two angles and the included side of one triangle are equal 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 SAS postulate?

Back

Side-Angle-Side postulate states that if two sides and the included angle of one triangle are equal 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 SSS postulate?

Back

Side-Side-Side postulate states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the AAS theorem?

Back

Angle-Angle-Side theorem states that if two angles and a non-included side of one triangle are equal 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 HL theorem?

Back

Hypotenuse-Leg theorem states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of CPCTC in proofs?

Back

CPCTC is used to conclude that corresponding parts of congruent triangles are also congruent.

Tags

CCSS.HSG.SRT.B.5