Informal Geometry 9/13/2018 Congruent Triangles Congruent triangles have 3 congruent sides and 3 congruent angles. The parts of congruent triangles that “match” are called corresponding parts.
ORDER MATTERS!!!! In a congruence statement Everything matches up. Informal Geometry 9/13/2018 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 If ABC DEF, then BC ___ EF A C D F E
Complete each congruence statement. B If ABC DEF, then A ___ D A C D F E
Complete each congruence statement. B If ABC DEF, then C ___ F A C D F E
Fill in the blanks If CAT DOG, then AC ___ OD
BAT MON N T ___ _____ ONM _____ MO ATB NM ____ BA TB Fill in the blanks BAT MON N T ___ _____ ONM _____ MO NM ____ ATB BA TB
Fill in the blanks BCA ____ ____ GFE EGF CAB
Complete the congruence statement. MKL _____ JKN
Complete the congruence statement. ABD _____ CBD
There are 5 ways to prove triangles congruent.
Side-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)
Two Angles and One Side that is NOT included Angle-Angle-Side (AAS) Congruence Postulate A S A S Two Angles and One Side that is NOT included
Angle-Side-Angle (ASA) Congruence Postulate Two angles and the INCLUDED side (the side is in between the 2 marked angles)
There is one more way to prove triangles congruent, but it’s only for RIGHT TRIANGLES…Hypotenuse Leg HL
Your Only Ways To Prove Triangles Are Congruent SSS SAS ASA AAS HL NO BAD WORDS Your Only Ways To Prove Triangles Are Congruent
2 markings you can add if they aren’t marked already
Reason: reflexive property Share a side Reason: reflexive property Vertical Angles Reason: Vertical Angles are congruent