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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

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Exercise 4 Page 803

Where do the points H and G lie?

Cannot be determined

Practice makes perfect

Let's analyze the given figure. We know that AD⊥l and ABCDEFGH is a cube.

We will determine whether the given statement is true, false, or cannot be determined.

Statement
HG lies in plane N.

For HG to lie in plane N, the points H and G must lie in plane N. Let's see if that is true!

Depending on the angle between the planes and the distance between the cube and plane N, points H and G may or may not lie in plane N. The moving arrows in the figure above indicate the presence of a possible gap. Therefore, the statement cannot be determined.

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