McGraw Hill Integrated II, 2012
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Exercise 5 Page 803

Is AE perpendicular to the lines that lie in plane M?

True

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

AE ⊥ to plane M.

Since ABCDEFGH is a cube, we know that AE is perpendicular to AB and AD.

Since AB and AD lie in plane M, AE is perpendicular to plane M. Therefore, the statement is true.