1 / 6

Congruence

Congruence. Review. Definition: Same size and shape, and their corresponding parts have equal measures Tick marks indicate congruent segments Arc marks indicate congruent angles Symbol:. Prove it!. There are 5 ways to test for triangle congruency We will learn 3 of them: Side-Side-Side

opa
Télécharger la présentation

Congruence

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. Congruence

  2. Review • Definition: Same size and shape, and their corresponding parts have equal measures • Tick marks indicate congruent segments • Arc marks indicate congruent angles • Symbol:

  3. Prove it! • There are 5 ways to test for triangle congruency • We will learn 3 of them: • Side-Side-Side • Side-Angle-Side • Angle-Side-Angle

  4. Side-Side-Side • If all 3 corresponding sides are equal, the triangles are congruent BA ≈ ED Side AC ≈ DF Side CB ≈ FE Side ∆BAC ≈ ∆EDF by SSS

  5. Side-Angle-Side • If an angle and two adjacent sides are congruent to the corresponding angle and sides of another triangle, the triangles are congruent AC ≈ PR Side <ACB ≈ <PRQ Angle CB ≈ RQ Side ∆ACB ≈ ∆PRQ by SAS

  6. Angle-Side-Angle • If two angles and the side in between are congruent to the corresponding angles and side of another triangle, the triangles are congruent <A1 ≈ <A2 Angle AC1 ≈ AC2 Side <C1 ≈ <C2 Angle ∆ABC1 ≈ ∆ABC2 by ASA

More Related