Congruent Triangles Unit 3

Congruent Triangles Congruent triangles have 3 congruent sides and 3 congruent angles. The parts of congruent triangles that “match” are called corresponding parts.

Congruence Statement In a congruence statement order matters! Everything matches up.

Corresponding Parts of Congruent Triangles are Congruent CPCTC Corresponding Parts of Congruent Triangles are Congruent

Complete each congruence statement B A C D F E Complete each congruence statement If ABC  DEF, then BC  EF

Complete each congruence statement B A C D F E Complete each congruence statement If ABC  DEF, then C  F

Complete each congruence statement B A C D F E Complete each congruence statement If ABC  DEF, then A  D

Fill in the blank using the provided information T  N ATB  ONM BA  MO NM  TB Fill in the blank using the provided information BAT  MON

Complete the congruence statement. MKL   JKN

Complete the congruence statement. ABD   CBD

5 Ways to prove a triangle is Congruent

Side-Angle-Side (SAS) Congruence Postulate Two sides and the included angle the angle is in between the 2 marked sides

Angle-Side-Angle (ASA) Congruence Postulate Two angles and the included side the side is in between the 2 marked angles

Angle-Angle-Side (AAS) Congruence Postulate Two Angles and One Side that is not included A S A S

Side-Side-Side (SSS) Congruence Postulate All Three sides in one triangle are congruent to all three sides in the other triangle

Hypotenuse Leg (HL) There is one more way to prove triangles congruent, but it’s only for right triangles.

Your Only Ways To Prove Triangles Are Congruent SSS SAS ASA AAS HL NO BAD WORDS Your Only Ways To Prove Triangles Are Congruent

4 markings YOU can add if they aren’t marked already

Share a side Reason: Reflexive Property

Vertical Angles Reason: Vertical Angles are congruent

Alternate Interior Angles Reason: Alt. Int angles are congruent

Isosceles Triangle Reason: Opposite congruent sides are congruent angles