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Points, Lines, and Planes

The applet below shows a two-dimensional and three-dimensional model of the same points, lines, and planes. Spend a few minutes exploring the objects and how they interact with each other when you move them. Then answer the questions below.

Name three noncollinear points.

Vink alles aan wat van toepassing is
  • A
  • B
  • C
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Name the line containing point E.

Line CG intersects line AE at _________.

Line FJ and line GK intersect at _______.

Two lines intersect at ______.

Vink alles aan wat van toepassing is
  • A
  • B
  • C
Controleer mijn antwoord (3)

How many distinct lines can be drawn between points E and G?

Vink alles aan wat van toepassing is
  • A
  • B
  • C
  • D
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Give one name for the gray plane.

Which four lines are coplanar?

Vink alles aan wat van toepassing is
  • A
  • B
  • C
  • D
  • E
  • F
Controleer mijn antwoord (3)

If you draw a line between points F and B, would it be located on the gray plane? (Hint: Think of the gray plane as a piece of paper that already has points F and B drawn on it.)

Vink alles aan wat van toepassing is
  • A
  • B
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How many planes can go through the noncollinear points D, J, and H?

Vink alles aan wat van toepassing is
  • A
  • B
  • C
  • D
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A line intersects a plane at _______. (Hint: Look at the green line and the gray plane.)

Vink alles aan wat van toepassing is
  • A
  • B
  • C
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Two planes intersects at ______. (Hint: Think of the intersection of two faces of the box.)

Vink alles aan wat van toepassing is
  • A
  • B
  • C
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A line must contain at least _____ points. (Hint: Think of the naming conventions.)

Vink alles aan wat van toepassing is
  • A
  • B
  • C
  • D
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A plane must contain at least _____ points. (Hint: Think of the naming conventions.)

Vink alles aan wat van toepassing is
  • A
  • B
  • C
  • D
Controleer mijn antwoord (3)