Geometry For Enjoyment And Challenge
Geometry For Enjoyment And Challenge
91st Edition
ISBN: 9780866099653
Author: Richard Rhoad, George Milauskas, Robert Whipple
Publisher: McDougal Littell
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Chapter 4.3, Problem 2PSA
To determine

To Prove: AD⊥BC

Expert Solution & Answer
Check Mark

Explanation of Solution

Given information: AD bisects angle BAC, AB=AC.

Formula used: Congruency of triangles, linear pair axiom.

Proof:

  Geometry For Enjoyment And Challenge, Chapter 4.3, Problem 2PSA

  AD bisects ∠BAC                  (Given)∴∠BAD=∠CAD.       AB=AC                                (Given)   AD=AD                               (Reflection property)   ∴ΔBAD≅ΔCAD                  (SAS)∴∠ADB=∠ADC                 (CPCT)∠ADB+∠ADC=180∘          (linear pair axiom)∴∠ADB=90∘=∠ADC∴AD⊥BC.

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Chapter 4.3, Problem 1PSA
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Chapter 4.3, Problem 3PSA

Chapter 4 Solutions

Geometry For Enjoyment And Challenge

Ch. 4.1 - Prob. 1PSACh. 4.1 - Prob. 2PSACh. 4.1 - Prob. 3PSACh. 4.1 - Prob. 4PSACh. 4.1 - Prob. 5PSACh. 4.1 - Prob. 6PSACh. 4.1 - Prob. 7PSACh. 4.1 - Prob. 8PSACh. 4.1 - Prob. 9PSBCh. 4.1 - Prob. 10PSB
Ch. 4.1 - Prob. 11PSBCh. 4.1 - Prob. 12PSBCh. 4.1 - Prob. 13PSBCh. 4.1 - Prob. 14PSBCh. 4.1 - Prob. 15PSBCh. 4.1 - Prob. 16PSCCh. 4.1 - Prob. 17PSCCh. 4.1 - Prob. 18PSCCh. 4.2 - Prob. 1PSACh. 4.2 - Prob. 2PSACh. 4.2 - Prob. 3PSACh. 4.2 - Prob. 4PSACh. 4.2 - Prob. 5PSACh. 4.2 - Prob. 6PSACh. 4.2 - Prob. 7PSACh. 4.2 - Prob. 8PSBCh. 4.2 - Prob. 9PSBCh. 4.2 - Prob. 10PSBCh. 4.2 - Prob. 11PSBCh. 4.2 - Prob. 12PSBCh. 4.2 - Prob. 13PSCCh. 4.2 - Prob. 14PSCCh. 4.2 - Prob. 15PSCCh. 4.3 - Prob. 1PSACh. 4.3 - Prob. 2PSACh. 4.3 - Prob. 3PSACh. 4.3 - Prob. 4PSACh. 4.3 - Prob. 5PSACh. 4.3 - Prob. 6PSACh. 4.3 - Prob. 7PSACh. 4.3 - Prob. 8PSBCh. 4.3 - Prob. 9PSBCh. 4.3 - Prob. 10PSBCh. 4.3 - Prob. 11PSBCh. 4.3 - Prob. 12PSBCh. 4.3 - Prob. 13PSBCh. 4.3 - Prob. 14PSCCh. 4.3 - Prob. 15PSCCh. 4.3 - Prob. 16PSCCh. 4.4 - Prob. 1PSACh. 4.4 - Prob. 2PSACh. 4.4 - Prob. 3PSACh. 4.4 - Prob. 4PSACh. 4.4 - Prob. 5PSACh. 4.4 - Prob. 6PSACh. 4.4 - Prob. 7PSACh. 4.4 - Prob. 8PSACh. 4.4 - Prob. 9PSACh. 4.4 - Prob. 10PSACh. 4.4 - Prob. 11PSBCh. 4.4 - Prob. 12PSBCh. 4.4 - Prob. 13PSBCh. 4.4 - Prob. 14PSBCh. 4.4 - Prob. 15PSBCh. 4.4 - Prob. 16PSBCh. 4.4 - Prob. 17PSBCh. 4.4 - Prob. 18PSBCh. 4.4 - Prob. 19PSBCh. 4.4 - Prob. 20PSCCh. 4.4 - Prob. 21PSCCh. 4.4 - Prob. 22PSCCh. 4.4 - Prob. 23PSCCh. 4.4 - Prob. 24PSCCh. 4.5 - Prob. 1PSCh. 4.5 - Prob. 2PSCh. 4.5 - Prob. 3PSCh. 4.5 - Prob. 4PSCh. 4.5 - Prob. 5PSCh. 4.6 - Prob. 1PSACh. 4.6 - Prob. 2PSACh. 4.6 - Prob. 3PSACh. 4.6 - Prob. 4PSACh. 4.6 - Prob. 5PSACh. 4.6 - Prob. 6PSACh. 4.6 - Prob. 7PSACh. 4.6 - Prob. 8PSACh. 4.6 - Prob. 9PSACh. 4.6 - Prob. 10PSACh. 4.6 - Prob. 11PSACh. 4.6 - Prob. 12PSBCh. 4.6 - Prob. 13PSBCh. 4.6 - Prob. 14PSBCh. 4.6 - Prob. 15PSBCh. 4.6 - Prob. 16PSBCh. 4.6 - Prob. 17PSCCh. 4.6 - Prob. 18PSCCh. 4 - Prob. 1RPCh. 4 - Prob. 2RPCh. 4 - Prob. 3RPCh. 4 - Prob. 4RPCh. 4 - Prob. 5RPCh. 4 - Prob. 6RPCh. 4 - Prob. 7RPCh. 4 - Prob. 8RPCh. 4 - Prob. 9RPCh. 4 - Prob. 10RPCh. 4 - Prob. 11RPCh. 4 - Prob. 12RPCh. 4 - Prob. 13RPCh. 4 - Prob. 14RPCh. 4 - Prob. 15RPCh. 4 - Prob. 16RPCh. 4 - Prob. 17RPCh. 4 - Prob. 18RPCh. 4 - Prob. 19RPCh. 4 - Prob. 20RPCh. 4 - Prob. 21RPCh. 4 - Prob. 22RP

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