1 / 5

7-10 Proving That Constructions Are Valid

7-10 Proving That Constructions Are Valid. 7-10 Proving That Constructions Are Valid. Congruent triangles can be utilized to prove that constructions done by straightedge and compass do in fact construct what they claim to construct. 7-10 Proving That Constructions Are Valid.

osma
Download Presentation

7-10 Proving That Constructions Are Valid

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. 7-10 Proving That Constructions Are Valid

  2. 7-10 Proving That Constructions Are Valid • Congruent triangles can be utilized to prove that constructions done by straightedge and compass do in fact construct what they claim to construct.

  3. 7-10 Proving That Constructions Are Valid • Constructing an Angle Bisector, then proving that it is. • Follow Activity 1. • Proof follows.

  4. Conclusions ÐAOB and circles A, C, and O, as constructed. AO @ CO; AO @ AD; CO @ CD AO @ CO @ AD @ CD ADCO is a rhombus AC and OD are perp. bis. rOD(A) = C; rOD(O) = O; rOD(D) = D rOD (ÐAOD)=ÐCOD ÐAOD@ÐCOD Justifications Given Definition of Circle Transitive Property of @ Definition of Rhombus Rhombus Diagonal Theorem Perpendicular Bisector Theorem Figure Reflection Theorem Definition of @ 7-10 Proving That Constructions Are Valid Given: ÐAOC and circles A, C, and O, as constructed. Prove: Ð AOD @Ð COD

  5. 7-10 Proving That Constructions Are Valid • On paper, do Activity 2. • Turn it in as an exist slip.

More Related