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 3.3, Problem 21PSC
To determine

To prove : The congruency of 1 with respect to 2 .

Expert Solution & Answer
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Explanation of Solution

Given information : In this question, we have given that AE¯FC¯ , FB¯DE¯ and CFBAED .

Formula used: SAS Congruency rule.

Proof: As, it is given that AE¯FC¯ , Adding EF¯ on both the sides, we get,

  AE¯+EF¯FC¯+EF¯AF¯CE¯

Now, CFB+BFA=180° and AED+DEC=180°

  CFB=180°BFA and AED=180°DEC

Now, as CFBAED (Given)

  CFB=180°BFA and CFB=180°DEC

  180°BFA=180°DEC

  BFA=DEC

Now, In ΔAFBandΔCED

  FB¯DE¯ (Proved given)

  BFA=DEC (Proved above)

  AF¯CE¯ (Proved above)

  ΔAFBΔCED (BY SAS Congruency rule)

  12 (BY CPCT)

Chapter 3 Solutions

Geometry For Enjoyment And Challenge

Ch. 3.2 - Prob. 6PSACh. 3.2 - Prob. 7PSACh. 3.2 - Prob. 8PSACh. 3.2 - Prob. 9PSACh. 3.2 - Prob. 10PSACh. 3.2 - Prob. 11PSACh. 3.2 - Prob. 12PSACh. 3.2 - Prob. 13PSACh. 3.2 - Prob. 14PSACh. 3.2 - Prob. 15PSACh. 3.2 - Prob. 16PSACh. 3.2 - Prob. 17PSBCh. 3.2 - Prob. 18PSBCh. 3.2 - Prob. 19PSBCh. 3.2 - Prob. 20PSBCh. 3.2 - Prob. 21PSBCh. 3.2 - Prob. 22PSBCh. 3.2 - Prob. 23PSBCh. 3.2 - Prob. 24PSBCh. 3.2 - Prob. 25PSBCh. 3.2 - Prob. 26PSCCh. 3.2 - Prob. 27PSCCh. 3.2 - Prob. 28PSCCh. 3.3 - Prob. 1PSACh. 3.3 - Prob. 2PSACh. 3.3 - Prob. 3PSACh. 3.3 - Prob. 4PSACh. 3.3 - Prob. 5PSACh. 3.3 - Prob. 6PSACh. 3.3 - Prob. 7PSACh. 3.3 - Prob. 8PSACh. 3.3 - Prob. 9PSACh. 3.3 - Prob. 10PSACh. 3.3 - Prob. 11PSACh. 3.3 - Prob. 12PSBCh. 3.3 - Prob. 13PSBCh. 3.3 - Prob. 14PSBCh. 3.3 - Prob. 15PSBCh. 3.3 - Prob. 16PSBCh. 3.3 - Prob. 17PSBCh. 3.3 - Prob. 18PSBCh. 3.3 - Prob. 19PSBCh. 3.3 - Prob. 20PSBCh. 3.3 - Prob. 21PSCCh. 3.3 - Prob. 22PSCCh. 3.3 - Prob. 23PSCCh. 3.4 - Prob. 1PSACh. 3.4 - Prob. 2PSACh. 3.4 - Prob. 3PSACh. 3.4 - Prob. 4PSACh. 3.4 - Prob. 5PSACh. 3.4 - Prob. 6PSACh. 3.4 - Prob. 7PSACh. 3.4 - Prob. 8PSBCh. 3.4 - Prob. 9PSBCh. 3.4 - Prob. 10PSBCh. 3.4 - Prob. 11PSBCh. 3.4 - Prob. 12PSCCh. 3.4 - Prob. 13PSCCh. 3.4 - Prob. 14PSCCh. 3.4 - Prob. 15PSCCh. 3.5 - Prob. 1PSACh. 3.5 - Prob. 2PSACh. 3.5 - Prob. 3PSACh. 3.5 - Prob. 4PSACh. 3.5 - Prob. 5PSACh. 3.5 - Prob. 6PSBCh. 3.5 - Prob. 7PSBCh. 3.5 - Prob. 8PSBCh. 3.5 - Prob. 9PSBCh. 3.5 - Prob. 10PSBCh. 3.5 - Prob. 11PSBCh. 3.5 - Prob. 12PSCCh. 3.5 - Prob. 13PSCCh. 3.5 - Prob. 14PSCCh. 3.6 - Prob. 1PSACh. 3.6 - Prob. 2PSACh. 3.6 - Prob. 3PSACh. 3.6 - Prob. 4PSACh. 3.6 - Prob. 5PSACh. 3.6 - Prob. 6PSACh. 3.6 - Prob. 7PSBCh. 3.6 - Prob. 8PSBCh. 3.6 - Prob. 9PSBCh. 3.6 - Prob. 10PSBCh. 3.6 - Prob. 11PSBCh. 3.6 - Prob. 12PSBCh. 3.6 - Prob. 13PSBCh. 3.6 - Prob. 14PSCCh. 3.6 - Prob. 15PSCCh. 3.6 - Prob. 16PSCCh. 3.7 - Prob. 1PSACh. 3.7 - Prob. 2PSACh. 3.7 - Prob. 3PSACh. 3.7 - Prob. 4PSACh. 3.7 - Prob. 5PSACh. 3.7 - Prob. 6PSACh. 3.7 - Prob. 7PSACh. 3.7 - Prob. 8PSACh. 3.7 - Prob. 9PSACh. 3.7 - Prob. 10PSACh. 3.7 - Prob. 11PSACh. 3.7 - Prob. 12PSBCh. 3.7 - Prob. 13PSBCh. 3.7 - Prob. 14PSBCh. 3.7 - Prob. 15PSBCh. 3.7 - Prob. 16PSBCh. 3.7 - Prob. 17PSBCh. 3.7 - Prob. 18PSBCh. 3.7 - Prob. 19PSBCh. 3.7 - Prob. 20PSBCh. 3.7 - Prob. 21PSBCh. 3.7 - Prob. 22PSCCh. 3.7 - Prob. 23PSCCh. 3.7 - Prob. 24PSCCh. 3.7 - Prob. 25PSCCh. 3.8 - Prob. 1PSACh. 3.8 - Prob. 2PSACh. 3.8 - Prob. 3PSACh. 3.8 - Prob. 4PSACh. 3.8 - Prob. 5PSACh. 3.8 - Prob. 6PSACh. 3.8 - Prob. 7PSBCh. 3.8 - Prob. 8PSBCh. 3.8 - Prob. 9PSBCh. 3.8 - Prob. 10PSBCh. 3.8 - Prob. 11PSBCh. 3.8 - Prob. 12PSBCh. 3.8 - Prob. 13PSBCh. 3.8 - Prob. 14PSBCh. 3.8 - Prob. 15PSBCh. 3.8 - Prob. 16PSCCh. 3.8 - Prob. 17PSCCh. 3.8 - Prob. 18PSDCh. 3 - Prob. 1RPCh. 3 - Prob. 2RPCh. 3 - Prob. 3RPCh. 3 - Prob. 4RPCh. 3 - Prob. 5RPCh. 3 - Prob. 6RPCh. 3 - Prob. 7RPCh. 3 - Prob. 8RPCh. 3 - Prob. 9RPCh. 3 - Prob. 10RPCh. 3 - Prob. 11RPCh. 3 - Prob. 12RPCh. 3 - Prob. 13RPCh. 3 - Prob. 14RPCh. 3 - Prob. 15RPCh. 3 - Prob. 16RPCh. 3 - Prob. 17RPCh. 3 - Prob. 18RPCh. 3 - Prob. 1CRCh. 3 - Prob. 2CRCh. 3 - Prob. 3CRCh. 3 - Prob. 4CRCh. 3 - Prob. 5CRCh. 3 - Prob. 6CRCh. 3 - Prob. 7CRCh. 3 - Prob. 8CRCh. 3 - Prob. 9CRCh. 3 - Prob. 10CRCh. 3 - Prob. 11CRCh. 3 - Prob. 12CRCh. 3 - Prob. 13CRCh. 3 - Prob. 14CRCh. 3 - Prob. 15CRCh. 3 - Prob. 16CRCh. 3 - Prob. 17CRCh. 3 - Prob. 18CRCh. 3 - Prob. 19CRCh. 3 - Prob. 20CRCh. 3 - Prob. 21CRCh. 3 - Prob. 22CRCh. 3 - Prob. 23CRCh. 3 - Prob. 24CR
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