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 6.2, Problem 16PSC

a

To determine

To prove: The segment ED and plane m are perpendicular

a

Expert Solution
Check Mark

Answer to Problem 16PSC

Line segment DE¯ will be perpendicular to given plane m

Explanation of Solution

Given information:

The points A, B, C & D given lie in given plane m

One given line is perpendicular to other given line, i.e., EDBC

Since given,

Points A, B, C & D given lie in given plane m and

  EDBC

Shows that a line, DE is perpendicular to plane than line, BC¯ passing through its foot is perpendicular to it

Thus, only line segment DE¯ will be perpendicular to given plane m

Hence proved

b

To determine

To find: The number of planes in the given figure

b

Expert Solution
Check Mark

Answer to Problem 16PSC

There are two planes in the given figure

Explanation of Solution

Given information

The points A, B, C & D given lie in given plane m.

One given line is perpendicular to other given line, i.e., EDBC

Since,

One plane, m is already given in the figure

Second plane will be where line segment lies and which is parallel to given plane, m.

Hence, there are two planes in the figure given

Chapter 6 Solutions

Geometry For Enjoyment And Challenge

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