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 6.3, Problem 6PSB
To determine

Prove that AB¯CD¯ .

Expert Solution & Answer
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Answer to Problem 6PSB

  AB¯CD¯ Proved.

Explanation of Solution

Given information:

Given: mn , ABCD

  Geometry For Enjoyment And Challenge, Chapter 6.3, Problem 6PSB , additional homework tip  1

Calculation

Consider the given figure,

  Geometry For Enjoyment And Challenge, Chapter 6.3, Problem 6PSB , additional homework tip  2

It is given that,

  m||nAC¯liesinmBD¯liesinnAB¯||CD¯

We know that parallel lines determine a plane so,

  ABCDisaplane

If a plane intersects two lines the lines are parallel.

  AC¯||BD¯

  ABCD is a parallelogram, if a quadrilateral whose two pairs of opposite sides are parallel is a parallelogram.

The opposite sides of parallelogram are congruent.

Hence, proved AB¯CD¯ .

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Geometry For Enjoyment And Challenge

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