1 / 7

Triangle Congruence by ASA and AAS 4-3

Triangle Congruence by ASA and AAS 4-3. Objective: To prove two triangles congruent using the ASA Postulate and the AAS Theorem. What works and what doesn’t?. Side-Angle-Side ( SAS ). Side-Side-Side ( SSS ). YES. YES. Angle-Side-Angle ( ASA ) . Side-Angle-Angle ( SAA ).

jenna
Télécharger la présentation

Triangle Congruence by ASA and AAS 4-3

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. Triangle Congruence by ASA and AAS4-3 Objective: To prove two triangles congruent using the ASA Postulate and the AAS Theorem.

  2. What works and what doesn’t? Side-Angle-Side (SAS) Side-Side-Side (SSS) YES YES Angle-Side-Angle (ASA) Side-Angle-Angle (SAA) Side-Side-Angle (SSA) Angle-Angle-Angle (AAA) NO

  3. Angle-Angle-Angle (AAA) Is this statement true? ∆MNO ∆PQR

  4. Which two triangles are congruent by ASA? Explain. We already have pairs of angles. We have congruent sides but are they included? Do congruent sides have congruence markings (ticks)? Yes! To use ASA, we need two pairs of congruent angles and a pair of included congruent sides.

  5. Statement Reason Side-Angle-Angle (AAS) Given Deductive Reasoning B Given Given Third angle Conjecture C A Y ∆ABC ∆XYZ AAS Conjecture (and ASA) Z X

  6. 4-3 p.238: 1-4, 6, 10, 12, 13, 15-18 [Write entire proof in two columns] What works and what doesn’t? Side-Angle-Side (SAS) Side-Side-Side (SSS) YES YES Angle-Side-Angle (ASA) Side-Angle-Angle (SAA) YES YES Side-Side-Angle (SSA) Angle-Angle-Angle (AAA) NO NO

More Related