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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

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Exercise 2 Page 803

Where do the vertices of square CDHG lie?

False

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
Square CDHG lies in plane N.

For square CDHG to lie in plane N, each one of its vertices must lie in plane N as well. Let's see if that is true!

We can see that points C and D lie in plane M, but not on the intersecting line l. With this information, we can conclude that points C and D do not lie in plane N. Therefore, the statement is false.

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