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 4.4, Problem 17PSB
To determine

To Verify: AFBC.

Expert Solution & Answer
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Explanation of Solution

Given information: DE=EC,DBDF,ECEF,BF=FC.

Formula used: congruency of triangles, linear pair axiom.

Proof:

   DE=EC,DBDF,ECEF,BF=FC(given)

   BDF=CEF(Eachequalto 90 o ) ΔBDFΔCEF(RHS)

   BDF=CEF(CPCT).....(1) B=C(CPCT)

   AB=AC(Sides opposite to equal angles are equal) ABDB=ACCE(DB=CE)

   AD=AE AF=AF(Reflectiveproperty)

   ΔADFΔAEF(RHS) AFD=AFE(CPCT)....(2)

   Addingequations(1)and(2) AFD+BFD=AFE+CFE

   AFB=AFC AFB+AFC= 180 (linearpair)

   AFB= 90 =AFC.

Chapter 4 Solutions

Geometry For Enjoyment And Challenge

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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