Choose the correct answer to each question.
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| 1. |
What is the converse of the following implication?
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"If two lines are parallel, then they are coplanar."
If two lines are coplanar, then they are parallel.
If two lines are parallel ,then they are noncoplanar.
If two lines are noncoplanar, then they are not parallel.
If two lines are not parallel, then they are noncoplanar.
Answer:
If two lines are coplanar, then they are parallel.
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| 2. |
What is the contrapositive of the implication given in the previous item?
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If two lines are coplanar, then they are parallel.
If two lines are parallel, then they are noncoplanar.
If two lines are not parallel, then they are noncoplanar.
If two lines are noncoplanar, then they are not parallel.
Answer:
If two lines are noncoplanar, then they are not parallel.
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| 3. |
Which is the hypothesis in the following statement?
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"Two distinct planes intersect at exactly one line."
Two intersecting planes
Two nonintersecting planes
The intersection is not a line.
The intersection is exactly one line.
Answer:
Two intersecting planes
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| 4. |
What conclusion can be deduced from the following arguments?
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Any three distinct noncollinear points lie on exactly one plane.
Points P and Q lie on line l.
Point R does not lie on line l.
Points P, Q, and R lie on line l.
Points P, Q, and R are collinear.
Points P, Q, and R are coplanar.
Points P, Q, and R are noncoplanar.
Answer:
Points P, Q, and R are coplanar.
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| 5. |
What conclusion can be drawn from the following arguments?
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If two distinct planes intersect, their intersection is a line.
Planes P and M are distinct planes that intersect.
Point R lies on both planes P and M.
Point S lies on both planes P and M.
Points R and S determine a line.
The intersection of planes P and M is
Point R is the intersection of planes P and M.
Point S is the intersection of planes P and M.
Answer:
The intersection of planes P and M is
