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# Theorems Relating Lines and Planes - PowerPoint PPT Presentation

Theorems Relating Lines and Planes. Review From Yesterday. What is the difference between collinear points and coplanar lines? What happens when two planes intersect? What are the 4 ways you can create a plane?.

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## PowerPoint Slideshow about 'Theorems Relating Lines and Planes' - sukey

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### Theorems Relating Lines and Planes

• What is the difference between collinear points and coplanar lines?

• What happens when two planes intersect?

• What are the 4 ways you can create a plane?

• Answer: collinear points are points on the same line and coplanar lines are lines in the same plane

- Answer: ONE line is formed

- Answer: 3 noncollinear points, a line and a point off

the line, two intersecting lines, two parallel lines

• If a line is perpendicular to each of two intersecting lines at their point of intersection, then the line is perpendicular to the plane determined by them.

• Through a given point there passes one and only one plane perpendicular to a given line.

• Through a given point there passes one and only one line perpendicular to a given plane.

• If two planes are perpendicular to the same line, they are parallel.

• A line perpendicular to a plane is perpendicular to every line in the plane. True of False?

• Through a point outside a plane, one

and only one plane can be drawn

perpendicular to the plane. True or False?

• Fill in the blank: Two planes that are perpendicular to the same line are _____________ to each other

• Two lines _____________ to the same plane are parallel.

4

4

4

1. Line k is drawn so that it is perpendicular to two distinct planes, P and R. What must be true about planes P and R?

(2) Planes P and R are parallel.

• Lines and intersect at point E. Line m is perpendicular to lines and

• at point E.

• Which statement is always true?

(3) Line m is perpendicular to the plane

4. One dihedral angle formed by planes l and q is:

P – YZ – A

5. If lines to form linen and m are each perpendicular to plane A, what is the relationship between n and m ?

n and m are coplanar

6. What happens when two planes intersect? ________________________________

One line is formed