Points, lines, planes and segments: names, notation and lengths
Grade 10 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.
Pia studies the edges of a cardboard box. Are lines DF and GU parallel, intersecting or skew?
- parallel
- intersecting
- skew
Ren traces the edges of a lunchbox. Are lines DQ and GU parallel, intersecting or skew?
Use the picture in question 1.
- intersecting
- skew
- parallel
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.
- intersecting
- parallel
- skew
Zee builds with a long toy block. Are lines DH and SU parallel, intersecting or skew?
Use the picture in question 1.
- intersecting
- parallel
- skew
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?
Sketch, not to scale: points D, F and G on one line, in that order, with the three lengths marked. Sketch, not to scale: points D, F and G on one line, in that order, with the three lengths marked. D F G Not to scale. 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?
Sketch, not to scale: points H, Q and S on one line, in that order, with the three lengths marked. Sketch, not to scale: points H, Q and S on one line, in that order, with the three lengths marked. HQ = (3x + 2) m QS = (2x + 5) m HS = (4x + 14) m H Q S Not to scale. Kira cuts a paper strip into three pieces. The sketch shows the four lengths in cm. How long is FG, in cm?
Sketch, not to scale: points D, F, G and H on one line, in that order. DF = x; FG = 2x − 1; GH = x + 5; DH = 32. Sketch, not to scale: points D, F, G and H on one line, in that order. DF = x; FG = 2x − 1; GH = x + 5; DH = 32. x 2x - 1 x + 5 DH = 32 D F G H Not to scale. Luz bikes a straight path with two rest stops. The sketch shows the four lengths in m. How long is SU, in m?
Sketch, not to scale: points Q, S, U and V on one line, in that order. QS = 2x + 3; SU = 3x + 2; UV = x + 4; QV = 63. Sketch, not to scale: points Q, S, U and V on one line, in that order. QS = 2x + 3; SU = 3x + 2; UV = x + 4; QV = 63. Q S U V 2x + 3 3x + 2 x + 4 63 Not to scale. Milo paints three bands on a ladder rail. The sketch shows the four lengths in cm. How long is YD, in cm?
Sketch, not to scale: points W, Y, D and F on one line, in that order. WY = 3x − 2; YD = 2x + 4; DF = 2x + 1; WF = 66. Sketch, not to scale: points W, Y, D and F on one line, in that order. WY = 3x − 2; YD = 2x + 4; DF = 2x + 1; WF = 66. WY = 3x - 2 YD = 2x + 4 DF = 2x + 1 WF = 66 W Y D F Not to scale. Noah builds a toy-train track with two stations. The sketch shows the four lengths in m. How long is HQ, in m?
Sketch, not to scale: points G, H, Q and S on one line, in that order. GH = x + 6; HQ = 4x + 1; QS = 2x − 3; GS = 60. Sketch, not to scale: points G, H, Q and S on one line, in that order. GH = x + 6; HQ = 4x + 1; QS = 2x − 3; GS = 60. x + 6 4x + 1 2x - 3 60 G H Q S Not to scale.