Congruent Triangles Congruent triangles have 3 congruent sides

Congruent Triangles

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

In a congruence statement ORDER MATTERS!!!! Everything matches up.

Corresponding Parts of Congruent Triangles are Congruent

Complete each congruence statement. If ABC DEF, B then BC ___ A D C F E

Complete each congruence statement. If ABC DEF, B then A ___ A D C F E

Complete each congruence statement. If ABC DEF, B then C ___ A D C F E

Fill in the blanks If CAT DOG, then AC ___

Fill in the blanks BAT MON T _____ ONM _____ MO NM ____

Fill in the blanks BCA ____ GFE

Complete the congruence statement. _____ JKN

Complete the congruence statement. _____ CBD

5 ways to Prove Triangles Congruent

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

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-Side (AAS) Congruence Postulate Two Angles and One Side that is NOT included

There is one more way to prove triangles congruent, but it’s only for RIGHT TRIANGLES…Hypotenuse Leg

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 Opposite congruent sides are congruent angles.