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

Euclidean Geometry Answers

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1
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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.
2
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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.
3

Which distance measures 7 units?

Question illustration
A
the distance between points L and M
B
the distance between points L and N
C
the distance between points M and N
D
the distance between points M and P
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

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.
6

Planes A and B intersect.

Question illustration
A
point W
B
point X
C
point Y
D
point Z
7

According to the number line, what is the distance between points A and B?

Question illustration
A
6 units
B
7 units
C
12 units
D
14 units
8

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.
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

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

Question illustration
A
0
B
1
C
2
D
3
12

Points J and K lie in plane H.

Question illustration
A
0
B
1
C
2
D
3
13

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
14

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
15

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

Question illustration
A
0
B
1
C
2
D
3
16

Planes A and B intersect.

Question illustration
A
line k
B
line n
C
point X
D
point W
17

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
18

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
19

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
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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