Euclidean Geometry Answers

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5

Planes A and B intersect.

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

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.
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

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.
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

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