1 / 15

Proving Triangles Congruent

Proving Triangles Congruent. Section 4.4. Possible Ways to Prove:. All corresponding sides/angles are congruent SSS, SAS, ASA, AAS, HL. Basic Proof Format. Statements. REASONS WHY. 1. congruent pair 2. congruent pair 3. congruent pair 4. ∆ABC ≅ ∆DEF. 1. 2. 3.

buffy
Download Presentation

Proving Triangles Congruent

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Proving Triangles Congruent Section 4.4

  2. Possible Ways to Prove: • All corresponding sides/angles are congruent • SSS, SAS, ASA, AAS, HL

  3. Basic Proof Format Statements REASONS WHY 1. congruent pair 2. congruent pair 3. congruent pair 4. ∆ABC ≅ ∆DEF 1. 2. 3. 4. SSS,SAS, ASA, AAS, or HL

  4. Common “Reasons” • “Given” in the problem • “Reflexive Property” Ex) AB = AB • Vertical Angles are congruent • “Transitive Property” • Definition of midpoint • Definition of bisector • Definition of perpendicular

  5. #1 Prove ∆HJN≅∆RFD

  6. #2 Prove ∆ABC≅∆DEF

  7. #3 Prove ∆KMO≅∆OLK

  8. #4 Prove ∆CBA≅∆CDE

  9. CPTC • “Corresponding Parts of Congruent Triangles” If you can prove that the triangles are congruent, then you can state that each piece is congruent

  10. #5 Prove that ∠A ≅ ∠D

  11. Prove: ABC EDC

  12. B and D are right angles.

More Related