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?

    • skew
    • intersecting
    • parallel
  2. Ren traces the edges of a lunchbox. Are lines DQ and GU parallel, intersecting or skew?

    Use the picture in question 1.

    • parallel
    • skew
    • intersecting
  3. Tala wraps ribbon along the edges of a gift box. Are lines HV and DF parallel, intersecting or skew?

    Use the picture in question 1.

    • skew
    • parallel
    • intersecting
  4. 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?

  5. 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?

  6. 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?

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

Answer Key - Grade 10 Math Worksheet - Challenge Me

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?

    • skew
    • intersecting
    • parallel
  2. Ren traces the edges of a lunchbox. Are lines DQ and GU parallel, intersecting or skew?

    Use the picture in question 1.

    • parallel
    • skew
    • intersecting
  3. Tala wraps ribbon along the edges of a gift box. Are lines HV and DF parallel, intersecting or skew?

    Use the picture in question 1.

    • skew
    • parallel
    • intersecting
  4. 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?

    57
  5. 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?

    42
  6. 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?

    44
  7. Kira cuts a paper strip into three pieces. The sketch shows the four lengths in cm. How long is FG, in cm?

    13
  8. Luz bikes a straight path with two rest stops. The sketch shows the four lengths in m. How long is SU, in m?

    29
  9. Milo paints three bands on a ladder rail. The sketch shows the four lengths in cm. How long is YD, in cm?

    22
  10. Noah builds a toy-train track with two stations. The sketch shows the four lengths in m. How long is HQ, in m?

    33