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Grade 10 · Math · Geometry

10th grade Points, lines, planes and segments: names, notation and lengths worksheet

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Points, lines, planes and segments: names, notation and lengths

Grade 10 Math Worksheet - Challenge Me

NameDate

Circle the best answer, or write your answer on the line.

  1. Pia studies the edges of a cardboard box. Are lines DF and GU parallel, intersecting or skew?

    • parallel
    • intersecting
    • skew
  2. Zee builds with a long toy block. Are lines DH and SU parallel, intersecting or skew?

    Use the picture in question 1.

    • skew
    • intersecting
    • parallel
  3. Ari cuts a ribbon of paper at point F. DF = (2x + 1) cm, FG = (3x − 4) cm and DG = (4x + 9) cm. How long is DG, in cm?

  4. Bo rides a straight path with a stop at Q. HQ = (3x + 2) m, QS = (2x + 5) m and HS = (4x + 14) m. How long is HS, in m?

  5. Esme marks a kite string at point V. UV = (4x − 3) cm, VW = (2x + 5) cm and UW = (5x + 9) cm. How long is UW, in cm?

  6. Jun lays toy-train track with a crossing at G. YG = (5x + 2) m, GH = (3x + 1) m and YH = (6x + 17) m. How long is YH, in m?

  7. Kira cuts a paper strip into three pieces. The sketch shows the four lengths in cm. How long is FG, in cm?

  8. Luz bikes a straight path with two rest stops. The sketch shows the four lengths in m. How long is SU, in m?

  9. Milo paints three bands on a ladder rail. The sketch shows the four lengths in cm. How long is YD, in cm?

  10. Noah builds a toy-train track with two stations. The sketch shows the four lengths in m. How long is HQ, in m?

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10th grade Points, lines, planes and segments: names, notation and lengths worksheet – printable
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About this worksheet

Points, lines, planes and segments. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can name a segment, a ray and a line from a picture, and say which points are collinear.
  • I can say how many lines or planes fit through given points, and tell parallel, intersecting and skew lines on a box.
  • I can use segment addition (the parts add to the whole) to find x and a length.

Standard: G-CO.A.1

Words to know

segment DF: The straight piece from D to F. It stops at both ends.

ray DF: Starts at D, goes through F and on forever. Named from its start.

line DF: Goes through D and F and on forever both ways.

collinear: Points that all lie on one line.

plane: A flat surface that goes on forever, like a never-ending tabletop.

skew lines: Lines that never meet and point different ways; no flat sheet holds both.

segment addition: If F is between D and G, then DF + FG = DG.

Common mistakes

Your child mixed up a ray (one end, goes on one way) with a line (no ends).

Your child mixed up a segment (two ends) with a ray (one end).

Your child mixed up a segment (stops at both ends) with a line (never stops).

What to say

Ask: does it stop anywhere?

Ask: how many places does it stop?

Ask: does it go on forever?

Questions parents ask

What is the most common mistake with points, lines, planes and segments: names, notation and lengths?

Your child mixed up a ray (one end, goes on one way) with a line (no ends).

How can I help my child with points, lines, planes and segments: names, notation and lengths?

Ask: does it stop anywhere?

Are these 10th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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