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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.

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  • A
  • B
  • C
答 (3)を確認

Name the line containing point E.

Line CG intersects line AE at _________.

Line FJ and line GK intersect at _______.

Two lines intersect at ______.

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答 (3)を確認

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

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答 (3)を確認

Give one name for the gray plane.

Which lines are coplanar? (select all)

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  • F
答 (3)を確認

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.)

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答 (3)を確認

How many planes can go through the noncollinear points D, J, and H?

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答 (3)を確認

A line intersects a plane at _______. (Hint: Look at the green line and the gray plane.)

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答 (3)を確認

Two planes intersects at ______. (Hint: Think of the intersection of two faces of the box.)

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答 (3)を確認

A line must contain at least _____ points. (Hint: Think of the naming conventions.)

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答 (3)を確認

A plane must contain at least _____ points. (Hint: Think of the naming conventions.)

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  • A
  • B
  • C
  • D
答 (3)を確認