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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.

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7-10 Proving That Constructions Are Valid

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  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.

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