Euclidean Geometry Answers

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Which diagram represents the postulate that states exactly one line exists between any two points?

A
[Image: Point B is on a horizontal line. Point A is above ...]
Option A
B
[Image: A diagonal line is shown. Points A and B are not o...]
Option B
C
[Image: Points A and B are on a diagonal line....]
Option C
D
[Image: Points A and B are shown....]
Option D
6

P ✔ JB X

A
P
B
✔ J
C
B
D
X
7

Use the given diagram to answer the question.

Answers:
Selection 1:x
Selection 2:z
Selection 3:y
8

line BC line YW ✔ point Bpoint A

A
line BC
B
line YW
C
✔ point B
D
point A
9

B K Y ✔ W

A
B
B
K
C
Y
D
✔ W
24

In a geometry class, students are asked to describe the dimensions of a plane based on the components that create a plane. Which student’s response is correct?

A
Mark states that a plane has zero dimensions because it is made up of three noncollinear points.
B
Stacy states that a plane has two dimensions because it is made up of an infinite number of lines.
C
Dewayne states that a plane has one dimension because it contains the line intersecting two points.
D
Candice states that a plane can have multiple dimensions depending on how many points are labeled.
25

v ✔ xy z

A
v
B
✔ x
C
y
D
z
26

w x y ✔ z

A
w
B
x
C
y
D
✔ z
27

v x ✔ yz

A
v
B
x
C
✔ y
D
z
40

Which statements are true? Select three options.

A
There are exactly two planes that contain points A, B, and F.
B
There is exactly one plane that contains points E, F, and B.
C
The line that can be drawn through points C and G would lie in plane X.
D
The line that can be drawn through points E and F would lie in plane Y.
E
The only points that can lie on plane Y are points E and F.

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