1 / 8

4-4 Using Congruent Triangles- CPCTC

4-4 Using Congruent Triangles- CPCTC. C orresponding P arts of C ongruent T riangles are C ongruent.

ziya
Download Presentation

4-4 Using Congruent Triangles- CPCTC

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. 4-4 Using Congruent Triangles- CPCTC

  2. Corresponding Parts of Congruent Triangles are Congruent *With SSS, SAS, ASA, and AAS, we know how to use three parts of triangles to show that the triangles are congruent. Once we have triangles congruent, we can make conclusions about the other parts because by definition, corresponding parts of congruent triangles are congruent.

  3. Example 1 (Do Not copy, just listen)

  4. Statements 1. ∠EDG ≌ ∠EDF 2. 3. are right angles 4. 5. 6. EF ≌ EG Example 2 Given: ∠DEG and ∠DEF are right angles, and ∠EDG ≌ ∠EDF Prove: EF ≌ EG Reasons 1. Given 2. Reflexive Property 3. Given 4. All right angles are congruent 5. ASA 6.CPCTC

  5. Proofs with CPCTC Reasons 1. Given 2. Reflexive Property 3. AAS 4. CPCTC Statements 1. and 2. PS SP 3. 4. SQ PR

  6. Statements 1. and 2. 3. 4. AC BC 5. 6. 7. PA = PB Reasons 1. Given 2. Def. of 3. All right angles are congruent 4. Def. of Segment Bisector 5. Reflexive Property 6. SAS 7. CPCTC

  7. Pg. 204 – 207 #’s 2-4, 6-12, 14, 23 Homework

More Related