AnswersA. CostelloWCA 5324 Geometry 1st Nine Weeks 26-27Euclidean Geometry

Euclidean Geometry Answers

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1
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Planes A and B intersect.

Question illustration
A
point W
B
point X
C
point Y
D
point Z
2
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Consider points R, S, and T.

Question illustration
A
No line can be drawn through any pair of the points.
B
One line can be drawn through all three points.
C
One plane can be drawn so it contains all three points.
D
Two planes can be drawn so that each one contains all three points.
3

Plane H is shown.

Question illustration
A
points A and D
B
points C and D
C
points A, C, and D
D
points A, B, and D
4

Which statements are true regarding undefinable terms in geometry? Select two options.

A
A point in the form (x, y) has two dimensions.
B
A plane has a definite beginning and end.
C
A line has one dimension, length.
D
A point consists of an infinite set of lines.
E
A plane consists of an infinite set of lines.
5

Which undefined geometric term is described as a two-dimensional set of points that has no beginning or end?

A
distance
B
line
C
plane
D
point
6

Which statements are true based on the diagram? Select three options.

A
Points N and K are on plane A and plane S.
B
Points P and M are on plane B and plane S.
C
Point P is the intersection of line n and line g.
D
Points M, P, and Q are noncollinear.
E
Line d intersects plane A at point N.
7

Which undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x, y)?

A
distance
B
line
C
plane
D
point
8

Planes X and Y and points C, D, E, and F are shown.

Question illustration
A
The line that can be drawn through points C and D is contained in plane Y.
B
The line that can be drawn through points D and E is contained in plane Y.
C
The only point that can lie in plane X is point F.
D
The only points that can lie in plane Y are points D and E.
9

Points J and K lie in plane H.

Question illustration
A
0
B
1
C
2
D
3
10

Which best describes the dimensions of a line?

A
A line has zero dimensions because it represents a location on the coordinate plane.
B
A line has one dimension because it is made up of all points that extend infinitely in either direction.
C
A line has two dimensions because it is made up of three noncollinear points.
D
A line has multiple dimensions depending on how many labeled points it contains.
11

Which undefined geometric term is described as a two-dimensional set of points that has no beginning or end?

A
distance
B
line
C
plane
D
point
12

Points J and K lie in plane H.

Question illustration
A
0
B
1
C
2
D
3
13

Which statements are true regarding undefinable terms in geometry? Select two options.A point’s location on the coordinate plane is indicated by an ordered pair, (x, y).A point has one dimension, length.A line has length and width.A distance along a line must have no beginning or end.A plane consists of an infinite set of points.

A
A point’s location on the coordinate plane is indicated by an ordered pair, (x, y).
B
A point has one dimension, length.
C
A line has length and width.
D
A distance along a line must have no beginning or end.
E
A plane consists of an infinite set of points.
14

Which best describes the dimensions of a line?

A
A line has zero dimensions because it represents a location on the coordinate plane.
B
A line has one dimension because it is made up of all points that extend infinitely in either direction.
C
A line has two dimensions because it is made up of three noncollinear points.
D
A line has multiple dimensions depending on how many labeled points it contains.
15

Consider points R, S, and T.

Question illustration
A
No line can be drawn through any pair of the points.
B
One line can be drawn through all three points.
C
One plane can be drawn so it contains all three points.
D
Two planes can be drawn so that each one contains all three points.
16

Which undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x, y)?

A
distance
B
line
C
plane
D
point
17

Plane H is shown.

Question illustration
A
points A and D
B
points C and D
C
points A, C, and D
D
points A, B, and D

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