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

Lesson 1.1: Euclidean Geometry Answers

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1
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Planes A and B intersect.

Question illustration
A
line k
B
line n
C
point X
D
point W
2
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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.
3

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.
4

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
5

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.
6

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.
7

Planes X and Y and points J, K, L, M, and N are shown.

Question illustration
A
0
B
1
C
2
D
3
8

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
9

Planes A and B intersect.

Question illustration
A
line k
B
line n
C
point X
D
point W
10

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
11

Horizontal line m intersects vertical line k at point B. Line k intersects diagonal line l are point A. Line l intersects line m at point F. Point G is also on line l. Point D is in the space between lines k and l and above line m. Point C is in the space between lines m and l to the left of line k.

Question illustration
A
points A, B, and F
B
points A, F, and G
C
points B, C, and D
D
points B, F, and G
12

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
13

Points J and K lie in plane H.

Question illustration
A
0
B
1
C
2
D
3
14

Planes X and Y and points J, K, L, M, and N are shown.

Question illustration
A
0
B
1
C
2
D
3
15

Points J and K lie in plane H.

Question illustration
A
0
B
1
C
2
D
3
16

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
17

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.
18

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

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.
19

Planes A and B intersect.

Question illustration
A
point W
B
point X
C
point Y
D
point Z
20

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.

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