Points, Lines & Planes - Worksheet 4 - 10th Grade

Medium

Identify lines, rays and segments, use labeled diagrams, and reason about collinearity and planes.

medium: Use segment addition and midpoint relationships.

24 problems · 10-15 minutes · Skills: geometry, vocabulary, notation

About This Worksheet

This medium-level worksheet contains 24 problems designed for 10th Grade students practicing points, lines & planes. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.

Recognize points and read labels from left to right on a diagram.

  • Identify lines, rays and segments, use labeled diagrams, and reason about collinearity and planes.
  • A ray name starts with its endpoint. Two distinct points determine a line; three non-collinear points determine a plane.

How to Solve: Worked Example

Example Problem: A, B and C lie on a line in that order. AB = 4 cm and BC = 7 cm. Find AC.
Solution Steps:
  1. B lies between A and C, so the two segments do not overlap.
  2. Use segment addition: AC = AB + BC.
  3. Add: 4 + 7 = 11 cm.
Answer: 11 cm
Tip: A ray name starts with its endpoint. Two distinct points determine a line; three non-collinear points determine a plane.
1
F, G, H are collinear in that order. FG = 20 cm and GH = 18 cm. Find FH.
FGH
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2
V, W, X are collinear in that order. VW = 3 cm and WX = 19 cm. Find VX.
VWX
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3
B, C, D are collinear in that order. BC = 10 cm and CD = 17 cm. Find BD.
BCD
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4
V, W, X are collinear in that order. VW = 19 cm and WX = 15 cm. Find VX.
VWX
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5
N, P, Q are collinear in that order. NP = 22 cm and PQ = 28 cm. Find NQ.
NPQ
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6
K, L, M are collinear in that order. KL = 11 cm and LM = 12 cm. Find KM.
KLM
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7
P, Q, R are collinear in that order. PQ = 7 cm and QR = 10 cm. Find PR.
PQR
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8
V, W, X are collinear in that order. VW = 4 cm and WX = 17 cm. Find VX.
VWX
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9
M, N, P are collinear in that order. MN = 2 cm and NP = 13 cm. Find MP.
MNP
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10
S, T, U are collinear in that order. ST = 22 cm and TU = 19 cm. Find SU.
STU
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11
S, T, U are collinear in that order. ST = 20 cm and TU = 8 cm. Find SU.
STU
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12
V, W, X are collinear in that order. VW = 18 cm and WX = 11 cm. Find VX.
VWX
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13
A, B, C are collinear in that order. AB = 15 cm and BC = 18 cm. Find AC.
ABC
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14
D, E, F are collinear in that order. DE = 6 cm and EF = 20 cm. Find DF.
DEF
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15
W, X, Y are collinear in that order. WX = 3 cm and XY = 16 cm. Find WY.
WXY
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16
D, E, F are collinear in that order. DE = 21 cm and EF = 13 cm. Find DF.
DEF
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17
M, N, P are collinear in that order. MN = 29 cm and NP = 28 cm. Find MP.
MNP
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18
Q, R, S are collinear in that order. QR = 4 cm and RS = 18 cm. Find QS.
QRS
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19
F, G, H are collinear in that order. FG = 9 cm and GH = 10 cm. Find FH.
FGH
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20
T, U, V are collinear in that order. TU = 9 cm and UV = 3 cm. Find TV.
TUV
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21
U, V, W are collinear in that order. UV = 4 cm and VW = 6 cm. Find UW.
UVW
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22
B, C, D are collinear in that order. BC = 24 cm and CD = 28 cm. Find BD.
BCD
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23
E, F, G are collinear in that order. EF = 22 cm and FG = 11 cm. Find EG.
EFG
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24
V, W, X are collinear in that order. VW = 15 cm and WX = 29 cm. Find VX.
VWX
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Answer Key

1. 38 cm2. 22 cm3. 27 cm4. 34 cm5. 50 cm6. 23 cm7. 17 cm8. 21 cm9. 15 cm10. 41 cm11. 28 cm12. 29 cm13. 33 cm14. 26 cm15. 19 cm16. 34 cm17. 57 cm18. 22 cm19. 19 cm20. 12 cm21. 10 cm22. 52 cm23. 33 cm24. 44 cm

Frequently Asked Questions

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What skills does this basics of geometry worksheet cover?

This worksheet focuses on geometry, vocabulary, notation. It is designed for 10th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

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This worksheet contains 24 problems. It typically takes 10-15 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.