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High School Math Geometry Geometry For Enjoyment And Challenge

To prove: ABCDis a trapezoid.

To prove: ABCDis a trapezoid.

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 5.7, Problem 7PSA

To determine

To prove:ABCDis a trapezoid.

Expert Solution & Answer

Explanation of Solution

Given information:

$AC ¯$ bisectsangle BAD.

$AB ¯≅BC ¯$

$AB ¯$ is not parallel to $CD ¯$ .

Proof:

Geometry For Enjoyment And Challenge, Chapter 5.7, Problem 7PSA

It is given that,

$AB ¯≅BC ¯$

If corresponding sides are congruent then corresponding angles are congruent.

$∠BAC≅∠BCA$

It is given that,

$AC ¯$ bisectsangle BAD.

An angle bisector divides the angle into two angles with equal measures.

By definition of bisector, we get

$∠BAC≅∠CAD$

By transitive property, we get

$∠BCA≅∠CAD$

If alternate interior angles are congruent then lines are parallel.

$BC ¯∥AD¯$

It is given that,

$AB ¯$ is not parallel to $CD ¯$ .

If one pair of sides are parallel, then figure is trapezoid.

ABCD is a trapezoid.

Chapter 5.7, Problem 6PSA

Chapter 5.7, Problem 8PSA

Chapter 5 Solutions

Geometry For Enjoyment And Challenge

Ch. 5.1 - Prob. 1PSA Ch. 5.1 - Prob. 2PSA Ch. 5.1 - Prob. 3PSA Ch. 5.1 - Prob. 4PSA Ch. 5.1 - Prob. 5PSA Ch. 5.1 - Prob. 6PSA Ch. 5.1 - Prob. 7PSA Ch. 5.1 - Prob. 8PSA Ch. 5.1 - Prob. 9PSA Ch. 5.1 - Prob. 10PSB

Ch. 5.1 - Prob. 11PSB Ch. 5.1 - Prob. 12PSB Ch. 5.1 - Prob. 13PSB Ch. 5.1 - Prob. 14PSC Ch. 5.1 - Prob. 15PSC Ch. 5.2 - Prob. 1PSA Ch. 5.2 - Prob. 2PSA Ch. 5.2 - Prob. 3PSA Ch. 5.2 - Prob. 4PSA Ch. 5.2 - Prob. 5PSA Ch. 5.2 - Prob. 6PSA Ch. 5.2 - Prob. 7PSA Ch. 5.2 - Prob. 8PSA Ch. 5.2 - Prob. 9PSA Ch. 5.2 - Prob. 10PSA Ch. 5.2 - Prob. 11PSA Ch. 5.2 - Prob. 12PSA Ch. 5.2 - Prob. 13PSA Ch. 5.2 - Prob. 14PSA Ch. 5.2 - Prob. 15PSA Ch. 5.2 - Prob. 16PSA Ch. 5.2 - Prob. 17PSA Ch. 5.2 - Prob. 18PSA Ch. 5.2 - Prob. 19PSA Ch. 5.2 - Prob. 20PSA Ch. 5.2 - Prob. 21PSA Ch. 5.2 - Prob. 22PSB Ch. 5.2 - Prob. 23PSB Ch. 5.2 - Prob. 24PSB Ch. 5.2 - Prob. 25PSC Ch. 5.2 - Prob. 26PSC Ch. 5.2 - Prob. 27PSC Ch. 5.2 - Prob. 28PSC Ch. 5.3 - Prob. 1PSA Ch. 5.3 - Prob. 2PSA Ch. 5.3 - Prob. 3PSA Ch. 5.3 - Prob. 4PSA Ch. 5.3 - Prob. 5PSA Ch. 5.3 - Prob. 6PSA Ch. 5.3 - Prob. 7PSA Ch. 5.3 - Prob. 8PSA Ch. 5.3 - Prob. 9PSA Ch. 5.3 - Prob. 10PSA Ch. 5.3 - Prob. 11PSA Ch. 5.3 - Prob. 12PSA Ch. 5.3 - Prob. 13PSA Ch. 5.3 - Prob. 14PSB Ch. 5.3 - Prob. 15PSB Ch. 5.3 - Prob. 16PSB Ch. 5.3 - Prob. 17PSB Ch. 5.3 - Prob. 18PSB Ch. 5.3 - Prob. 19PSB Ch. 5.3 - Prob. 20PSB Ch. 5.3 - Prob. 21PSB Ch. 5.3 - Prob. 22PSB Ch. 5.3 - Prob. 23PSB Ch. 5.3 - Prob. 24PSB Ch. 5.3 - Prob. 25PSB Ch. 5.3 - Prob. 26PSC Ch. 5.3 - Prob. 27PSC Ch. 5.3 - Prob. 28PSC Ch. 5.3 - Prob. 29PSD Ch. 5.3 - Prob. 30PSD Ch. 5.4 - Prob. 1PSA Ch. 5.4 - Prob. 2PSA Ch. 5.4 - Prob. 3PSA Ch. 5.4 - Prob. 4PSA Ch. 5.4 - Prob. 5PSA Ch. 5.4 - Prob. 6PSA Ch. 5.4 - Prob. 7PSA Ch. 5.4 - Prob. 8PSA Ch. 5.4 - Prob. 9PSA Ch. 5.4 - Prob. 10PSA Ch. 5.4 - Prob. 11PSA Ch. 5.4 - Prob. 12PSA Ch. 5.4 - Prob. 13PSB Ch. 5.4 - Prob. 14PSB Ch. 5.4 - Prob. 15PSB Ch. 5.4 - Prob. 16PSB Ch. 5.4 - Prob. 17PSB Ch. 5.4 - Prob. 18PSB Ch. 5.4 - Prob. 19PSB Ch. 5.4 - Prob. 20PSB Ch. 5.4 - Prob. 21PSC Ch. 5.4 - Prob. 22PSC Ch. 5.5 - Prob. 1PSA Ch. 5.5 - Prob. 2PSA Ch. 5.5 - Prob. 3PSA Ch. 5.5 - Prob. 4PSA Ch. 5.5 - Prob. 5PSA Ch. 5.5 - Prob. 6PSA Ch. 5.5 - Prob. 7PSA Ch. 5.5 - Prob. 8PSA Ch. 5.5 - Prob. 9PSA Ch. 5.5 - Prob. 10PSA Ch. 5.5 - Prob. 11PSA Ch. 5.5 - Prob. 12PSA Ch. 5.5 - Prob. 13PSA Ch. 5.5 - Prob. 14PSA Ch. 5.5 - Prob. 15PSB Ch. 5.5 - Prob. 16PSB Ch. 5.5 - Prob. 17PSB Ch. 5.5 - Prob. 18PSB Ch. 5.5 - Prob. 19PSB Ch. 5.5 - Prob. 20PSB Ch. 5.5 - Prob. 21PSB Ch. 5.5 - Prob. 22PSB Ch. 5.5 - Prob. 23PSB Ch. 5.5 - Prob. 24PSB Ch. 5.5 - Prob. 25PSB Ch. 5.5 - Prob. 26PSB Ch. 5.5 - Prob. 27PSB Ch. 5.5 - Prob. 28PSC Ch. 5.5 - Prob. 29PSC Ch. 5.5 - Prob. 30PSC Ch. 5.6 - Prob. 1PSA Ch. 5.6 - Prob. 2PSA Ch. 5.6 - Prob. 3PSA Ch. 5.6 - Prob. 4PSA Ch. 5.6 - Prob. 5PSA Ch. 5.6 - Prob. 6PSA Ch. 5.6 - Prob. 7PSA Ch. 5.6 - Prob. 8PSA Ch. 5.6 - Prob. 9PSA Ch. 5.6 - Prob. 10PSA Ch. 5.6 - Prob. 11PSB Ch. 5.6 - Prob. 12PSB Ch. 5.6 - Prob. 13PSB Ch. 5.6 - Prob. 14PSB Ch. 5.6 - Prob. 15PSB Ch. 5.6 - Prob. 16PSB Ch. 5.6 - Prob. 17PSB Ch. 5.6 - Prob. 18PSB Ch. 5.6 - Prob. 19PSC Ch. 5.6 - Prob. 20PSC Ch. 5.6 - Prob. 21PSD Ch. 5.7 - Prob. 1PSA Ch. 5.7 - Prob. 2PSA Ch. 5.7 - Prob. 3PSA Ch. 5.7 - Prob. 4PSA Ch. 5.7 - Prob. 5PSA Ch. 5.7 - Prob. 6PSA Ch. 5.7 - Prob. 7PSA Ch. 5.7 - Prob. 8PSA Ch. 5.7 - Prob. 9PSA Ch. 5.7 - Prob. 10PSA Ch. 5.7 - Prob. 11PSB Ch. 5.7 - Prob. 12PSB Ch. 5.7 - Prob. 13PSB Ch. 5.7 - Prob. 14PSB Ch. 5.7 - Prob. 15PSB Ch. 5.7 - Prob. 16PSB Ch. 5.7 - Prob. 17PSB Ch. 5.7 - Prob. 18PSB Ch. 5.7 - Prob. 19PSB Ch. 5.7 - Prob. 20PSB Ch. 5.7 - Prob. 21PSB Ch. 5.7 - Prob. 22PSB Ch. 5.7 - Prob. 23PSB Ch. 5.7 - Prob. 24PSB Ch. 5.7 - Prob. 25PSB Ch. 5.7 - Prob. 26PSC Ch. 5.7 - Prob. 27PSC Ch. 5.7 - Prob. 28PSC Ch. 5.7 - Prob. 29PSC Ch. 5 - Prob. 1RP Ch. 5 - Prob. 2RP Ch. 5 - Prob. 3RP Ch. 5 - Prob. 4RP Ch. 5 - Prob. 5RP Ch. 5 - Prob. 6RP Ch. 5 - Prob. 7RP Ch. 5 - Prob. 8RP Ch. 5 - Prob. 9RP Ch. 5 - Prob. 10RP Ch. 5 - Prob. 11RP Ch. 5 - Prob. 12RP Ch. 5 - Prob. 13RP Ch. 5 - Prob. 14RP Ch. 5 - Prob. 15RP Ch. 5 - Prob. 16RP Ch. 5 - Prob. 17RP Ch. 5 - Prob. 18RP Ch. 5 - Prob. 19RP Ch. 5 - Prob. 20RP Ch. 5 - Prob. 21RP Ch. 5 - Prob. 22RP Ch. 5 - Prob. 23RP Ch. 5 - Prob. 24RP Ch. 5 - Prob. 25RP Ch. 5 - Prob. 26RP Ch. 5 - Prob. 27RP Ch. 5 - Prob. 28RP Ch. 5 - Prob. 29RP Ch. 5 - Prob. 30RP

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