Lesson 1.1: Euclidean Geometry Answers

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What did you include in your response? Check all that apply.

A
A plane contains at least three noncollinear points.
B
Three noncollinear points would have at least two lines containing them.
C
Two points make up one line, so two lines are necessary for three noncollinear points.
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P ✔ JB X

Answers:
Points W, K, and are collinear.:J
Line CA and line YK intersect at .:point B
Point is not contained on line m.:W
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line BC line YW ✔ point Bpoint A

A
line BC
B
line YW
C
✔ point B
D
point A
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B K Y ✔ W

A
B
B
K
C
Y
D
✔ W
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Use the given diagram to answer the question.

Answers:
Selection 1:x
Selection 2:z
Selection 3:y
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w x y ✔ z

A
w
B
x
C
y
D
✔ z
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v x ✔ yz

A
v
B
x
C
✔ y
D
z
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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
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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.
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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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Explain why there must be at least two lines on any given plane.

Answer:

There exists one plane through any three noncollinear points. Since the points cannot be on the same line, at least two lines would have to pass through any of the three points.

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Use the given diagram to answer the question.

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

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