Warm up Solve for the variable 1 x
Warm up Solve for the variable. 1. x 4 x – 20 40 2. 2 y + 28 3 y – 14° 42
Quiz Review
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 EF then BC ___ A D C F E
Complete each congruence statement. If ABC DEF, B D then A ___ 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 BCA ____ EGF CAB GFE ____
Complete the congruence statement. MKL JKN _____
Complete the congruence statement. ABD 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.
Homework WS #1 – 12
- Slides: 27