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# 6.2 Perpendicularity of a Line and a Plane - PowerPoint PPT Presentation

6.2 Perpendicularity of a Line and a Plane. Objectives: Recognize when a line is perpendicular to a plane Prove a line is perpendicular to a plane. A line is perpendicular to a plane if it is perpendicular to every one of the lines in the plane that pass through its foot. E. m. Z. X. B.

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Presentation Transcript

6.2 Perpendicularity of a Line and a Plane

• Objectives:

• Recognize when a line is perpendicular to a plane

• Prove a line is perpendicular to a plane

A line is perpendicular to a plane if it is perpendicular to every one of the lines in the plane that pass through its foot.

E

m

Z

X

B

Y

Theorem 48: If a line is perpendicular to two distinct lines that lie in a plane and that pass through its foot, then it is perpendicular to the plane.

E

m

X

B

Y

Example 1: that lie in a plane and that pass through its foot, then it is perpendicular to the plane.

Q

p

1

R