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Similar to 4.3 proving triangles are congruent
4.3 proving triangles are congruent
- 1. Proving Triangles are Congruent SSSand SAS Congruence Postulates
- 2. ∠A P≅ ∠ ∠BQ≅ ∠ ∠C R≅ ∠ Corresponding AnglesCorresponding Sides PQAB ≅ QRBC ≅ PRAC ≅ ∆ABC ∆≅ PQR
- 3. Do we needto use all six pairs to prove two triangles are congruent? Proving Triangles are Congruent
- 4. SSS (Side-Side-Side) Congruence Postulate •If three sides of one triangle are congruent to three sides of a second triangle, the two triangles are congruent. If Side PQAB ≅ QRBC ≅ PRAC ≅ ∆ABC ∆≅ PQR Then Side Side
- 5. Example 1 Prove: ∆DEF∆≅ JKL From the diagram, .,, KLEFandJLDFJKDE ≅≅≅ SSS Congruence Postulate.∆DEF ∆≅ JKL
- 6. • If twosides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent. SAS (Side-Angle-Side) Congruence Postulate
- 7. Example 2 Prove: ∆SYT∆≅ WYX
- 8. Which Congruence Postulateto Use? 1. Decide whether enough information is given in the diagram to prove that triangle PQR is congruent to triangle PQS. If so give a two-column proof and state the congruence postulate.
- 9. Checkpoint Decide if enoughinformation is given to prove the triangles are congruent. If so, state the congruence postulate you would use.
- 10. Congruent Triangles inthe Coordinate Plane Use the SSS Congruence Postulate to show that ∆ABC ∆≅ DEF Which other postulate could you use to prove the triangles are congruent?
- 11.
- 12. Homework • Exercise 4.3page 216: 1-19, 20, 21-27, 33, 35 odd.