Ch4.3 Congruent Triangles Proofs
- 1. Ch4.3_CongruentTrianglesProofs.notebook October 24, 2011 1
- 2. Ch4.3_CongruentTrianglesProofs.notebook October 24, 2011 Chapter 4.3 Congruent Triangles Continuing Proofs 2
- 3. Ch4.3_CongruentTrianglesProofs.notebook October 24, 2011 Congruent triangles have congruent angles and congruent sides C.P.C.T.C. Corresponding Parts of Congruent Triangles are Congruent s or angles) (s egment Prove corresponding parts are equal 3
- 4. Ch4.3_CongruentTrianglesProofs.notebook October 24, 2011 C.P.C.T.C. AC ≅ AC Reflexive SSS CPCTC 4
- 5. Ch4.3_CongruentTrianglesProofs.notebook October 24, 2011 C.P.C.T.C. Prove: VX ≅ ZX Statement Reason Definition of perpendicular lines Transitive Property ΔVXW ≅ ΔZXY ASA VX ≅ ZX 5
- 6. Ch4.3_CongruentTrianglesProofs.notebook October 24, 2011 Isosceles Triangle Theorem es sid nt rue o ng B 2 c B Then If A C A C If 2 sides of a triangle are ≅, then the angles opposite from them are also ≅ Base Angles Theorem Converse of Isosceles Δ thm. If 2 angles of a triangle are ≅, then the sides opposite from them are also ≅ B B A C A C Examples: Solve for X X 660 Solve for A and B A 3 in B 2 c Solve for X, Y, and Z X m 2 cm Z m Y 2 c Solve for X and Y 0 60 Y X 3.4 ft Solve for X X 1100 700 6
- 7. Ch4.3_CongruentTrianglesProofs.notebook October 24, 2011 Page 162 #111, 18 7