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Points, Lines, and Planes Practice

Last updated over 2 years ago

40 questions

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Question 1

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Draggable item		Corresponding Item

Question 2

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Draggable item		Corresponding Item

Question 3

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Question 4

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Question 5

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Question 6

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Question 7

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Question 8

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Question 9

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Question 10

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Question 11

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How many segments can be named from the figure shown here? Just type the number.

Question 12

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Question 13

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Question 14

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Question 15

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Question 16

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Question 17

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Question 18

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Question 19

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Question 20

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Question 21

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Question 22

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Question 23

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Question 24

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Question 25

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Question 26

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Question 27

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Question 28

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Question 29

29.

Use the diagram shown to answer the following questions.

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Use the diagram shown to answer the following questions.

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Use the diagram shown to answer the following questions.

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Match each term with its correct definition. 

Line Segment

A location in space which has no dimension (no length, no area, no volume).

Ray

An infinite set of points which has one dimension. Extends in opposite directions. 

Line

An infinite set of points with two dimensions. Extends in all directions.

Plane

Infinite set of points consisting of two endpoints and all the points in between. 

Point

Infinite set of points consisting of one endpoint (the initial point) and all the points extending in one direction.

Match each term with its correct definition. 

Noncoplanar

Two points are always _____ because a line can always be placed through them. 

Parallel Planes

Three or more points which are situated such that a line cannot be placed through all of them.

Skew Lines

Points and/or lines that are located on the same plane are said to be _____ .

Parallel Lines

Points and/or lines that are NOT located on the same plane are said to be.

Coplanar

Lines that are coplanar and do not intersect.

Collinear

Two planes that do not intersect.

Noncollinear

Lines that are noncoplanar and do not intersect.

What is/are correct ways to refer to this geometric figure?

line m

ray m

segment m

line a 

line b

ray a

ray b

segment a

segment b

What is/are correct ways to refer to this geometric figure?

line AB

line BA

segment AB

segment BA

ray AB

ray BA

line a

line b

segment a

segment b

ray a

ray b

What is/are correct ways to refer to this geometric figure?

line AB

line BA

segment AB

segment BA

ray AB

ray BA

line a

line b

segment a

segment b

ray a 

ray b

In the diagram shown here, line m and line n are

intersecting

coinciding (meaning, they are the same line)

skew

parallel

In the diagram shown here, line m and line n are

parallel

skew

coinciding (meaning, they are the same line)

intersecting

The planes shown below are

Coinciding (meaning, they are the same plane)

Parallel

Skew

Intersecting

Which of the following is a TRUE statement regarding the diagram shown here?

line x intersects with plane y at more than one point

it is correct to refer to the plane in this diagram as plane xyz

line x is collinear to plane y

line x is coplanar to plane y

line x intersects with plane y at point Z

Given the diagram shown below, which of the following are a TRUE statements? Select all that apply.

points A, B, and C are collinear

points A, B, and C are coplanar

points A, B, and C are noncollinear

points A, B, and C are noncoplanar

line AB is collinear with point C

line AB is coplanar with point C

Any two points are collinear.

True

False

Any three points are collinear.

True

False

Any three points are coplanar.

True

False

Any four points are coplanar.

True

False

Two lines can intersect at more than one point.

True

False

Two lines always intersect at exactly one point.

True

False

If two lines intersect, then they can only intersect at exactly one point.

True

False

Any two planes will intersect one another.

True

False

If two planes intersect, they intersect at exactly one point.

True

False

If two planes intersect, a segment is formed at their intersection.

True

False

If two planes intersect, a line is formed at their intersection.

True

False

True

False

True

False

True

False

Point C

Point D

Points C and D

Describe the intersection of plane Q and plane P shown here.

Point A

Point B

Point A and Point B

Which of the following ARE appropriate ways to refer to the plane shown below? Select all that apply.

Plane A

Plane B

Plane C

Plane N

Plane AB

Plane AC

Plane BC

Plane ABC

Plane BAC

Plane CBA

Plane NBA

Plane CAN

Is it appropriate to refer to Plane W in the diagram below as Plane ATB ? Hint: notice that Plane Z also passes through those same three points.

Yes; any three points can be used to describe a plane.

No; the three points used to describe a plane must be noncollinear.

Question 30

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Question 31

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Question 32

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Question 33

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Question 34

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Question 35

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Question 36

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Question 37

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Question 38

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Question 39

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Question 40

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Points S and T are collinear.

True

False

Points R, S, and T are coplanar.

True

False

Which of the following points are NOT coplanar with points R, O, and T? Select all that apply.

Point N

Point P

Point S

Point U

Which point is coplanar with points A, B, and E?

C

D

F

G

H

Which point is coplanar with points A, B, and G?

C

D

F

G

H

What is the intersection of planes EFG and CDG?

line AB

line BC

line CD

line AD

line AE

line BF

line CG

line DH

line EF

line FG

line GH

line EH

Which plane is parallel to plane ADE?

Plane ABC

Plane ABF

Plane BCF

Plane CDG

Plane EFG

Line r and line s are coplanar lines because they are both located on Plane V.

True

False

Line r and line s are coplanar lines because a plane could be passed through both of them.

True

False

Part of line r is dotted because

the artist who made this diagram got lazy.

line s decided to chop line r into little pieces just for kicks.

point X is actually a wormhole which leads to an alternate dimension.

the dotted portion gives perspective of the drawing as line r pierces through plane V and passes underneath it from our view.

When naming the plane by points, any three of the letters R, Q, X, and Z can be used, but not letters s or V. What are the two reasons for this?

The letter s is referring to the line, not the plane.

The letter V is not located near a point, and since it's in the corner of the plane, it is used to name the plane.

Planes discriminate against the letters s and V. 