Points, lines and planes worksheet

Points, lines and planes are the undefined terms everything else is built from. Two points fix a line, three points not on one line fix a plane, and a ray is named by its endpoint first.

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Sigma Prep · sigmaprep.io/worksheets Name Points, Lines and Planes Date Period Answer each question. Which three terms are left undefined in geometry? Points $L$ , $M$ and $B$ lie on a line in that order. Name the ray opposite to $\vec{M L}$ Are $(- 2, - 4)$ , $(- 4, - 8)$ and $(- 8, - 16)$ collinear? Two distinct lines intersect. What is their intersection? Points $L$ , $R$ and $M$ lie on a line in that order. Name another way to write $\vec{L R}$ Are $(2, 4)$ , $(- 2, 1)$ and $(- 6, - 2)$ collinear? How many noncollinear points determine a plane? Points $L$ , $S$ and $M$ lie on a line in that order. Name the ray opposite to $\vec{S L}$ Are $(4, - 3)$ , $(8, - 7)$ and $(16, - 14)$ collinear? A line meets a plane but does not lie in it. What is their intersection? Points $K$ , $P$ and $B$ lie on a line in that order. Name the ray opposite to $\vec{P K}$ Are $(- 4, 4)$ , $(- 3, 2)$ and $(- 2, - 1)$ collinear? How many endpoints does a ray have? Points $S$ , $A$ and $P$ lie on a line in that order. Name the ray opposite to $\vec{A S}$ Are $(0, 1)$ , $(- 4, - 1)$ and $(- 6, - 2)$ collinear? How many points determine a line? Points $D$ , $B$ and $J$ lie on a line in that order. Name the ray opposite to $\vec{B D}$ Are $(0, - 1)$ , $(- 3, - 4)$ and $(- 9, - 9)$ collinear? If two points lie in a plane, where does the line through them lie? Points $D$ , $B$ and $C$ lie on a line in that order. Name another way to write $\vec{D B}$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Points, Lines and Planes

Date Period

Answer each question.

Which three terms are left undefined in geometry?
Points $L$ , $M$ and $B$ lie on a line in that order. Name the ray opposite to $\vec{M L}$
Are $(- 2, - 4)$ , $(- 4, - 8)$ and $(- 8, - 16)$ collinear?
Two distinct lines intersect. What is their intersection?
Points $L$ , $R$ and $M$ lie on a line in that order. Name another way to write $\vec{L R}$
Are $(2, 4)$ , $(- 2, 1)$ and $(- 6, - 2)$ collinear?
How many noncollinear points determine a plane?
Points $L$ , $S$ and $M$ lie on a line in that order. Name the ray opposite to $\vec{S L}$
Are $(4, - 3)$ , $(8, - 7)$ and $(16, - 14)$ collinear?
A line meets a plane but does not lie in it. What is their intersection?
Points $K$ , $P$ and $B$ lie on a line in that order. Name the ray opposite to $\vec{P K}$
Are $(- 4, 4)$ , $(- 3, 2)$ and $(- 2, - 1)$ collinear?
How many endpoints does a ray have?
Points $S$ , $A$ and $P$ lie on a line in that order. Name the ray opposite to $\vec{A S}$
Are $(0, 1)$ , $(- 4, - 1)$ and $(- 6, - 2)$ collinear?
How many points determine a line?
Points $D$ , $B$ and $J$ lie on a line in that order. Name the ray opposite to $\vec{B D}$
Are $(0, - 1)$ , $(- 3, - 4)$ and $(- 9, - 9)$ collinear?
If two points lie in a plane, where does the line through them lie?
Points $D$ , $B$ and $C$ lie on a line in that order. Name another way to write $\vec{D B}$



Sigma Prep · sigmaprep.io/worksheets Name Points, Lines and PlanesAnswer keyVersion 1 Date Period Answer each question. Which three terms are left undefined in geometry?Point, line and plane Points $L$ , $M$ and $B$ lie on a line in that order. Name the ray opposite to $\vec{M L}$ $\vec{M B}$ Are $(- 2, - 4)$ , $(- 4, - 8)$ and $(- 8, - 16)$ collinear?Yes Two distinct lines intersect. What is their intersection?A point Points $L$ , $R$ and $M$ lie on a line in that order. Name another way to write $\vec{L R}$ $\vec{L M}$ Are $(2, 4)$ , $(- 2, 1)$ and $(- 6, - 2)$ collinear?Yes How many noncollinear points determine a plane?Three Points $L$ , $S$ and $M$ lie on a line in that order. Name the ray opposite to $\vec{S L}$ $\vec{S M}$ Are $(4, - 3)$ , $(8, - 7)$ and $(16, - 14)$ collinear?No A line meets a plane but does not lie in it. What is their intersection?A point Points $K$ , $P$ and $B$ lie on a line in that order. Name the ray opposite to $\vec{P K}$ $\vec{P B}$ Are $(- 4, 4)$ , $(- 3, 2)$ and $(- 2, - 1)$ collinear?No How many endpoints does a ray have?One Points $S$ , $A$ and $P$ lie on a line in that order. Name the ray opposite to $\vec{A S}$ $\vec{A P}$ Are $(0, 1)$ , $(- 4, - 1)$ and $(- 6, - 2)$ collinear?Yes How many points determine a line?Two Points $D$ , $B$ and $J$ lie on a line in that order. Name the ray opposite to $\vec{B D}$ $\vec{B J}$ Are $(0, - 1)$ , $(- 3, - 4)$ and $(- 9, - 9)$ collinear?No If two points lie in a plane, where does the line through them lie?In the plane Points $D$ , $B$ and $C$ lie on a line in that order. Name another way to write $\vec{D B}$ $\vec{D C}$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Points, Lines and PlanesAnswer keyVersion 1

Date Period

Answer each question.

Which three terms are left undefined in geometry?Point, line and plane
Points $L$ , $M$ and $B$ lie on a line in that order. Name the ray opposite to $\vec{M L}$ $\vec{M B}$
Are $(- 2, - 4)$ , $(- 4, - 8)$ and $(- 8, - 16)$ collinear?Yes
Two distinct lines intersect. What is their intersection?A point
Points $L$ , $R$ and $M$ lie on a line in that order. Name another way to write $\vec{L R}$ $\vec{L M}$
Are $(2, 4)$ , $(- 2, 1)$ and $(- 6, - 2)$ collinear?Yes
How many noncollinear points determine a plane?Three
Points $L$ , $S$ and $M$ lie on a line in that order. Name the ray opposite to $\vec{S L}$ $\vec{S M}$
Are $(4, - 3)$ , $(8, - 7)$ and $(16, - 14)$ collinear?No
A line meets a plane but does not lie in it. What is their intersection?A point
Points $K$ , $P$ and $B$ lie on a line in that order. Name the ray opposite to $\vec{P K}$ $\vec{P B}$
Are $(- 4, 4)$ , $(- 3, 2)$ and $(- 2, - 1)$ collinear?No
How many endpoints does a ray have?One
Points $S$ , $A$ and $P$ lie on a line in that order. Name the ray opposite to $\vec{A S}$ $\vec{A P}$
Are $(0, 1)$ , $(- 4, - 1)$ and $(- 6, - 2)$ collinear?Yes
How many points determine a line?Two
Points $D$ , $B$ and $J$ lie on a line in that order. Name the ray opposite to $\vec{B D}$ $\vec{B J}$
Are $(0, - 1)$ , $(- 3, - 4)$ and $(- 9, - 9)$ collinear?No
If two points lie in a plane, where does the line through them lie?In the plane
Points $D$ , $B$ and $C$ lie on a line in that order. Name another way to write $\vec{D B}$ $\vec{D C}$

How to do these

Points $A$ , $B$ and $C$ lie on a line in that order. Name the ray opposite to $\vec{B A}$

Opposite rays share an endpoint and point in opposite directions.
This one starts at B and heads toward C.

The answer is $\vec{B C}$ .

Where students go wrong

Naming a ray from the wrong end. Ray BA starts at B and points toward A; ray AB starts at A.

Also called undefined terms, naming rays and segments, collinear points or points lines and planes.

What you can put on this worksheet

Points, lines and planes: How many planes contain three given noncollinear points? → Exactly one
Rays and segments on a line: Points $J$ , $L$ and $C$ lie on a line in that order. Name another way to write $\vec{J L}$ → $\vec{J C}$
Collinear or not: Are $(0, 4)$ , $(- 6, 2)$ and $(- 9, 1)$ collinear? → Yes

Questions about these worksheets

Yes. Every points, lines and planes sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Geometry is usually taken around 9th or 10th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the points, lines and planes questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

You pick from 3: points, lines and planes, rays and segments on a line and collinear or not. Tick as many as you want and set how many of each, or let it spread them evenly.

Naming a ray from the wrong end. Ray BA starts at B and points toward A; ray AB starts at A.

Points, lines and planes worksheet

Select your difficulty

Points, Lines and Planes

Points, Lines and PlanesAnswer keyVersion 1

How to do these

Where students go wrong

What you can put on this worksheet

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