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Originally Posted by
jam2011
write A if the statement is ALWAYS TRUE, S if the statement is SOMETIMES TRUE, and N if the statement is NEVER TRUE.
A 1. a point separates a line into two opposite rays.
yes.
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A 2. If a single point is removed from a plane, then the remaining points from a
convex set.
?? There is no verb in the conclusion! Added: Oh! "form", not "from". A convex set has the property that, if two points are in the then so is the line segment between them. Imagine a circle with center at the "removed" point and two points at the ends of a diameter.
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No answer 3. There are at least 8 sets into which space can be separated by
four different planes'
The three coordinate planes in a coordinate system divide space into 8 sets.
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S 4. Two circles must intersect in a point.
Yes.
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S 5. Three angles lying in one plane may have a common side.
Yes.
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A 6. If the sides of two angles are two pairs of opposite rays then the angles form a
linear pair.
No! Look up the definition of "linear pair" and contrast it with "vertical angles".
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A 7. A supplementary pair consist of an acute and an obtuse angle.
What about two right angles?
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S 8. If three points are coplanar then they must be collinear.
Okay- can be but dont have to be.
[qiote]N 9. A complementary pair is a supplementary pair.[/quote]
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A. 10. A half plane contains its edge.
That contradicts the definition of "half plane" given here:
half plane: Definition from Answers.com
What definition are you using?
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Gud day! Here's another problem..i try to answer these question yet i have doubt of answer. Can anyone please check my work? Thank you so much(Happy)