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Warm up Solve. 1. x 4x – 20 40 2. 2y + 28 3y – 14° 42 Questions over HW? 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. NOV DAY Complete each congruence statement. If ABC DEF, B then BC EF ___ A D C F E Complete each congruence statement. If ABC DEF, B then A D ___ A D C F E Complete each congruence statement. If ABC DEF, B then C F ___ A D C F E Fill in the blanks If CAT DOG, OD then AC ___ Fill in the blanks BAT MON T N ___ ATB _____ ONM BA MO _____ NM TB ____ Fill in the blanks EGF BCA ____ CAB GFE ____ 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) 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 There are four more ways to prove triangles congruent, but they are only for RIGHT TRIANGLES…Hypotenuse Leg only for RIGHT TRIANGLES…Hypotenuse Angle only for RIGHT TRIANGLES…Leg Leg only for RIGHT TRIANGLES…Leg Angle } NO BAD WORDS Your Only Ways To Prove Triangles Are Congruent 2 markings you can add if they aren’t marked already Share a side Reason: reflexive property Vertical Angles Reason: Vertical Angles are congruent White Board Practice Ex 1 SSS, SAS, ASA, AAS, HL, or not congruent. SSS SSS, SAS, ASA, AAS, HL, or not congruent. Ex 2 I AAS Ex 3 SSS, SAS, ASA, AAS, HL, or not congruent. Not congruent. Ex 4 SSS, SAS, ASA, AAS, HL, or not congruent. SAS SSS, SAS, ASA, AAS, HL, or not congruent. Ex 5 ASA Ex 6 SSS, SAS, ASA, AAS, HL, or not congruent. SSS SSS, SAS, ASA, AAS, HL, or not congruent. Ex 7 Not congruent SSS, SAS, ASA, AAS, HL, or not congruent. Ex 8 SAS Ex 9 SSS, SAS, ASA, AAS, HL, or not congruent. AAS or SAS Ex 10 SSS, SAS, ASA, AAS, HL, or not congruent. HL