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

NameDate

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

Pia marks a ladder rail at point Q. HQ = (3x + 2) cm, QS = (2x + 3) cm and HS = 50 cm. What is x?
Ren rides a straight bike path with a rest stop at V. UV = (2x + 5) m, VW = (4x + 1) m and UW = 54 m. What is x?
Zee ties a bow at point G on a kite string. FG = (2x + 4) cm, GQ = (3x + 1) cm and FQ = 50 cm. How long is GQ, in cm?
Ari builds a straight toy-train track with a tunnel at U. SU = (4x + 2) m, UW = (x + 9) m and SW = 46 m. How long is UW, in m?
Bo draws a long line with a pencil and marks point Y. VY = (3x + 5) cm, YD = (2x + 3) cm and VD = 63 cm. How long is YD, in cm?
6.
Jun marks two points, D and F, on paper. How many different lines pass through both D and F?
- none
- infinitely many
- exactly two
- exactly one
7.
Kira sets three cups on a table, at points G, H and Q, not in a row. How many different planes contain G, H and Q?
- exactly three
- exactly one
- infinitely many
- none
8.
Luz marks points S, U and V in a row along the edge of a door. S, U and V lie on one line. How many different planes contain all three?
- exactly one
- exactly three
- none
- infinitely many
9.
Milo looks at a corner where two classroom walls meet. Each wall is part of a plane. What do the two planes share where they meet?
- a plane
- a line
- nothing
- a point
10.
Noah looks at the two slanted sides of a tent. Each side is part of a plane. What do the two planes share at the top edge?
- nothing
- a point
- a line
- a plane

10th grade Points, lines, planes and segments: names, notation and lengths worksheet – printable — Print: 1 2 3 4 5 6

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.

More geometry

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