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Notice that the image of airplace wings looks a lot like two planes in geometry? You will use this image to review information from this lesson.

Line n containing points R, S, and T intersecting a plane containing non-collinear points A, U, and T at point T, and a line m containing points D, C, B, and A intersecting a plane containing non-collinear points A, U, and T at point A

R, S, and ___ are collinear points.

Answer: T

Line n containing points R, S, and T intersecting a plane containing non-collinear points A, U, and T at point T, and a line m containing points D, C, B, and A intersecting a plane containing non-collinear points A, U, and T at point A;

A, U, and ___ are coplanar points.

Answer: T

Line n containing points R, S, and T intersecting a plane containing non-collinear points A, U, and T at point T, and a line m containing points D, C, B, and A intersecting a plane containing non-collinear points A, U, and T at point A;

Name the point "between" points R and T. ___

Answer: S

Line n containing points R, S, and T intersecting a plane containing non-collinear points A, U, and T at point T, and a line m containing points D, C, B, and A intersecting a plane containing non-collinear points A, U, and T at point A;

What is another name for line m? ___

Answer: line DC; There a multiple responses: line DC, line DB, line DA, line CB, line CA, and line BA.

Line n containing points R, S, and T intersecting a plane containing non-collinear points A, U, and T at point T, and a line m containing points D, C, B, and A intersecting a plane containing non-collinear points A, U, and T at point A;

Which point is the intersection of lines AD and SB? ___

Answer: B

Line n containing points R, S, and T intersecting a plane containing non-collinear points A, U, and T at point T, and a line m containing points D, C, B, and A intersecting a plane containing non-collinear points A, U, and T at point A;

Name 1 point that does not lie in plane ATU. ___

Answer: R; There are multiple responses: R, S, D, C, and B.

Line n containing points R, S, and T intersecting a plane containing non-collinear points A, U, and T at point T, and a line m containing points D, C, B, and A intersecting a plane containing non-collinear points A, U, and T at point A;

Does line n lie in plant ATU? Yes or No?

Answer: No, line n does not lie in plane ATU, but it does intersect the plane at point T.

Line n containing points R, S, and T intersecting a plane containing non-collinear points A, U, and T at point T, and a line m containing points D, C, B, and A intersecting a plane containing non-collinear points A, U, and T at point A;
  1. A ______ has two endpoints.
    1. segment
    2. line
    3. ray

    Answer: a. segment

  2. A location in space is the definition of a ____________.
    1. dot
    2. point
    3. line

    Answer: b. point

  3. You can name a plane with ___________.
    1. three collinear points in the plane
    2. three points in the plane
    3. three noncollinear points in the plane

    Answer: c. three noncollinear points in the plane

  4. Name a line in this diagram lines
    1. line BE
    2. line AFC
    3. line FA

    Answer: a. line BE

  5. Which of these is a line segment? line segment and lines
    1. figure 1
    2. figure 2
    3. figure 3

    Answer: a. figure 2

  6. undefined term in geometry that represents location
    1. point
    2. line
    3. plane

    Answer: a. point

  7. undefined term that is made up of infinitely many points
    1. point
    2. line
    3. plane

    Answer: b. line

  8. undefined term for a flat surface made up of infinite points
    1. point
    2. line
    3. plane

    Answer: c. plane

  9. points on the same line
    1. space
    2. coplanar
    3. collinear

    Answer: c. collinear

  10. points on the same plane
    1. space
    2. coplanar
    3. collinear

    Answer: b. coplanar

  11. boundless, three-dimensional set of all points
    1. space
    2. coplanar
    3. collinear

    Answer: a. space

  12. where two or more geometric figures cross
    1. intersection
    2. ray
    3. line

    Answer: a. intersection

  13. part of a line that has one endpoint
    1. intersection
    2. ray
    3. line

    Answer: b. ray

Perpendicular Lines Practice

All the practice problems relate to this image.

A cube; bottom plane has point Q and R at the back, S and T at the front with T and Q on the left; top plane has points M and N at the back, P and O at the front with M and P on the left

Exercise #1

Let’s see if you can identify other parallel and skew lines on the figure. Compare these two lines. Are they parallel or skew?

line segment OP

and

line segment RS

Answer: skew

Exercise #2

What about these line segments? Are they perpendicular?

line segment QR

and

line segment RS

Answer: Yes, these lines are perpendicular.

Exercise #3

Now, let's look at planes. Are planes SOP and TSR parallel or penpendicular?

Answer: These planes are perpendicular.

Exercise #4

Are planes QTS and MNO parallel or penpendicular?

Answer: These planes are parallel.

Exercise #5

What about these line segments? Are they skew or parallel?

line segment PM

and

line segment RS

Answer: These lines are parallel.