Chapter 3 review Solve for x X 19

Chapter 3 review Solve for x. X = 19 X = 22

Warm-up If ëLMN ¤ ëQRS, find: 1) 2) 3) 4) 5) 6) m<L LM m<S QS RS m<M

4 -2 & 4 -3 Proving Triangles Congruent

Ways to Prove Parts Congruent l Angles 1. Vertical Angles ≅ (bow tie) 2. Angle Bisector 3. Given parallel lines, alternate interior angles ≅ 4. All right angles ≅ l Sides 1. Midpoint 2. Bisector 3. Isosceles triangle 4. Reflexive/Symmetric Property (share a side)

Ways to Prove Congruent Triangles

Notes for me…. Use Document Camera!! Handout on congruence statements Show alternate interior angle transparency. Followed by mark the picture handout.

Examples Name…. 1) An angle included between sides AT and AC 2) The side opposite <T 3) The side included between <C and <T

Examples: Stop after these Can you prove triangles are congruent? By which method? Write a congruence statement as well.

Chapter 3 Review Solve for x. X = 158 X=5

Steps to do a proof 1) 2) 3) Fill in given and prove line Look at given, any words? bisect, midpoint, parallel, perpendicular, isosceles triangle. No more words, look at picture share a side or bow tie 4) Once you have 3 parts congruent, triangle congruent (SSS, SAS, ASA, AAS)

Proofs Statement 1 2 3 4 Reason

Proofs Statement 1 2 3 4 Reason

Proofs Statement 1 2 3 4 5 Reason

Proofs Statement 1 2 3 4 5 Reason