Which term does not belong with the other three? Explain your reasoning.

$\overline{\mathrm{AB}}$

plane CDE

FG

HI

Sachit K.

Numerade Educator

In Exercises $3-6,$ use the diagram.

Name the plane that contains points $A, B,$ and $C$

Luca A.

Numerade Educator

In Exercises $3-6,$ use the diagram.

Name the plane that contains points $A, D,$ and $E$

Sachit K.

Numerade Educator

In Exercises $7-10,$ use the diagram.

Give two other names for $\overline{\mathrm{WQ}}$

Luca A.

Numerade Educator

In Exercises $7-10,$ use the diagram.

Give another name for plane $\mathrm{V}$

Sachit K.

Numerade Educator

In Exercises $7-10,$ use the diagram.

Name three points that are collinear. Then name a fourth point that is not collinear with these three points.

Luca A.

Numerade Educator

In Exercises $7-10,$ use the diagram.

Name a point that is not coplanar with $\mathrm{R}, \mathrm{S},$ and $\mathrm{T}$ .

Sachit K.

Numerade Educator

In Exercises $11-16,$ use the diagram.

What is another name for $\overline{\mathrm{BD}} ?$

Luca A.

Numerade Educator

In Exercises $11-16,$ use the diagram.

What is another name for $\overline{\mathrm{AC}}$ ?

Sachit K.

Numerade Educator

In Exercises $11-16,$ use the diagram.

What is another name for ray $\mathrm{AE}$ ?

Luca A.

Numerade Educator

In Exercises $11-16,$ use the diagram.

Name all rays with endpoint E.

Sachit K.

Numerade Educator

In Exercises $11-16,$ use the diagram.

Name two pairs of opposite rays.

Luca A.

Numerade Educator

In Exercises $11-16,$ use the diagram.

Name one pair of rays that are not opposite rays.

Sachit K.

Numerade Educator

In Exercises $17-24,$ sketch the figure described.

plane $\mathrm{P}$ and line $\ell$ intersecting at one point

Luca A.

Numerade Educator

In Exercises $17-24,$ sketch the figure described.

plane $\mathrm{K}$ and line $\mathrm{m}$ intersecting at all points on line m

Sachit K.

Numerade Educator

In Exercises $17-24,$ sketch the figure described.

$A B$ and $A C$

Luca A.

Numerade Educator

In Exercises $17-24,$ sketch the figure described.

$\mathrm{MN}$ and $\mathrm{NX}$

Sachit K.

Numerade Educator

In Exercises $17-24,$ sketch the figure described.

plane M and $\mathrm{NB}$ intersecting at $\mathrm{B}$

Luca A.

Numerade Educator

In Exercises $17-24,$ sketch the figure described.

plane M and $\mathrm{NB}$ intersecting at $\mathrm{A}$

Sachit K.

Numerade Educator

In Exercises $17-24,$ sketch the figure described.

plane $\mathrm{A}$ and plane $\mathrm{B}$ not intersecting

Luca A.

Numerade Educator

In Exercises $17-24,$ sketch the figure described.

plane $\mathrm{C}$ and plane $\mathrm{D}$ intersecting at $\mathrm{XY}$

Sachit K.

Numerade Educator

In Exercises 25 and 26, describe and correct the error in naming opposite rays in the diagram.

ADand ACare opposite rays.

Luca A.

Numerade Educator

In Exercises 25 and 26, describe and correct the error in naming opposite rays in the diagram.

$\overline{\mathrm{YC}} \mathrm{and}$ $\overline{\mathrm{YE}}$ are opposite rays.

Sachit K.

Numerade Educator

In Exercises $27-34,$ use the diagram.

Name a point that is collinear with points $\mathrm{E}$ and $\mathrm{H}$ .

Luca A.

Numerade Educator

In Exercises $27-34,$ use the diagram.

Name a point that is collinear with points $\mathrm{B}$ and $\mathrm{I}$

Sachit K.

Numerade Educator

In Exercises $27-34,$ use the diagram.

Name a point that is not collinear with points $\mathrm{E}$

and $\mathrm{H}$ .

Luca A.

Numerade Educator

In Exercises $27-34,$ use the diagram.

Name a point that is not collinear with points $\mathrm{B}$ and $\mathrm{I}$ .

Sachit K.

Numerade Educator

In Exercises $27-34,$ use the diagram.

Name a point that is coplanar with points $\mathrm{D}, \mathrm{A},$ and $\mathrm{B}$ .

Luca A.

Numerade Educator

In Exercises $27-34,$ use the diagram.

Name a point that is coplanar with points $\mathrm{C}, \mathrm{G},$ and $\mathrm{F}$

Sachit K.

Numerade Educator

In Exercises $27-34,$ use the diagram.

Name the intersection of plane AEH and plane FBE.

Luca A.

Numerade Educator

In Exercises $27-34,$ use the diagram.

Name the intersection of plane BGF and plane HDG.

Sachit K.

Numerade Educator

In Exercises $35-38,$ name the geometric term modeled by the object.

Luca A.

Numerade Educator

In Exercises $35-38,$ name the geometric term modeled by the object.

Sachit K.

Numerade Educator

In Exercises $35-38,$ name the geometric term modeled by the object.

Luca A.

Numerade Educator

In Exercises $35-38,$ name the geometric term modeled by the object.

Sachit K.

Numerade Educator

In Exercises $39-44,$ use the diagram to name all the points that are not coplanar with the given points.

$\mathrm{N}, \mathrm{K},$ and $\mathrm{L}$

Luca A.

Numerade Educator

In Exercises $39-44,$ use the diagram to name all the points that are not coplanar with the given points.

$\mathrm{P}, \mathrm{Q},$ and $\mathrm{N}$

Sachit K.

Numerade Educator

In Exercises $39-44,$ use the diagram to name all the points that are not coplanar with the given points.

$P, Q,$ and $R$

Luca A.

Numerade Educator

$\mathrm{R}, \mathrm{K},$ and $\mathrm{N}$

Sachit K.

Numerade Educator

$\mathrm{P}, \mathrm{S},$ and $\mathrm{K}$

Luca A.

Numerade Educator

$\mathrm{Q}, \mathrm{K},$ and $\mathrm{L}$

Sachit K.

Numerade Educator

Given two points on a line and a third point not on the line, is it possible to draw a plane that includes the line and the third point? Explain your reasoning.

Luca A.

Numerade Educator

Is it possible for one point to be in two different planes? Explain your reasoning.

Sachit K.

Numerade Educator

Explain why a four-legged chair may rock from side to side even if the floor is level. Would a three-legged chair on the same level floor rock from side to side? Why or why not?

Luca A.

Numerade Educator

You are designing the living room of an apartment. Counting the floor, walls, and ceiling, you want the design to contain at least eight different planes. Draw a diagram of your design. Label each plane in your design.

Sachit K.

Numerade Educator

Two coplanar intersecting lines will always intersect at one point. What is the greatest number of intersection points that exist if you draw four coplanar lines? Explain.

Luca A.

Numerade Educator

You and your friend walk in opposite directions, forming opposite rays. You were originally on the corner of Apple Avenue and Cherry Court.

a. Name two possibilities of the road and direction you and your friend may have traveled.

b. Your friend claims he went north on Cherry Court, and you went east on Apple Avenue. Make an argument as to why you know this could not have happened.

Sachit K.

Numerade Educator

In Exercises $51-54$ graph the inequality on a number line. Tell whether the graph is a segment, a ray or rays, a point, or a line.

$$x \leq 3$$

Luca A.

Numerade Educator

In Exercises $51-54$ graph the inequality on a number line. Tell whether the graph is a segment, a ray or rays, a point, or a line.

$$-7 \leq x \leq 4$$

Sachit K.

Numerade Educator

In Exercises $51-54$ graph the inequality on a number line. Tell whether the graph is a segment, a ray or rays, a point, or a line.

$$x \geq 5 \text { or } x \leq-2$$

Luca A.

Numerade Educator

$$\left.\right|_{\mathrm{X}} | \leq 0$$

Sachit K.

Numerade Educator

Use the diagram.

a. Name two points that are collinear with $\mathrm{P}$ .

b. Name two planes that contain J.

c. Name all the points that are in more than one plane.

Luca A.

Numerade Educator

In Exercises $56-63,$ complete the statement with always, sometimes, or never. Explain your reasoning.

A line ______ has endpoints.

Sachit K.

Numerade Educator

In Exercises $56-63,$ complete the statement with always, sometimes, or never. Explain your reasoning.

A line and a point ________ intersect.

Luca A.

Numerade Educator

In Exercises $56-63,$ complete the statement with always, sometimes, or never. Explain your reasoning.

A plane and a point ________ intersect.

Sachit K.

Numerade Educator

Two planes ________ determine a line.

Luca A.

Numerade Educator

Two points ________ determine a line.

Sachit K.

Numerade Educator

Any three points _____ determine a plane.

Luca A.

Numerade Educator

Any three points not on the same line ________ determine a plane.

Sachit K.

Numerade Educator

Two lines that are not parallel _________ intersect.

Luca A.

Numerade Educator

Is it possible for three planes to never intersect? intersect in one line? intersect in one point? Sketch the possible situations.

Sachit K.

Numerade Educator