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Math Help - line, plane and space

  1. #1
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    line, plane and space

    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.
    A 2. If a single point is removed from a plane, then the remaining points from a
    convex set.
    No answer 3. There are at least 8 sets into which space can be separated by
    four different planes'
    S 4. Two circles must intersect in a point.
    S 5. Three angles lying in one plane may have a common side.
    A 6. If the sides of two angles are two pairs of opposite rays then the angles form a
    linear pair.
    A 7. A supplementary pair consist of an acute and an obtuse angle.
    S 8. If three points are coplanar then they must be collinear.
    N 9. A complementary pair is a supplementary pair.
    A. 10. A half plane contains its edge.

    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
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  2. #2
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    Quote Originally Posted by jam2011 View Post
    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.

    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.

    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.

    S 4. Two circles must intersect in a point.
    Yes.

    S 5. Three angles lying in one plane may have a common side.
    Yes.

    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".

    A 7. A supplementary pair consist of an acute and an obtuse angle.
    What about two right angles?

    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]

    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?

    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
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  3. #3
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    clarification of my answer

    2. If a single point is removed from a plane, then the remaining points form a
    convex set_____________thanks for the correction...not from but "form".....yet im confused what would be my best answer.....maybe the answer SOMETIMES TRUE...PLEASE CHECK.THANKS

    3.There are at least 8 sets into which space can be separated by
    four different planes' _________________SOMETIMES TRUE>>>>PLEASE CHECK

    6. If the sides of two angles are two pairs of opposite rays then the angles form a
    linear pair. ____________________SOMETIMES TRUE>>>>>>PLEASE CHECK

    7.A supplementary pair consist of an acute and an obtuse angle. ________________SOMETIMES TRUE RIGHT?>>>>>>PLEASE CHECK

    8. If three points are coplanar then they must be collinear. ______________SOMETIMES TRUE>>>>> PLEASE CHECK


    9.A complementary pair ia a supplementary pair.____________________?????NEVER TRUE>>>>>>PLEASE CHECK
    10. A HALF plane contains its edge.>>>>>>>>>>>>>>>NEVER TRUE>>>>>>PLEase CHECK


    THANKS FOR YOUR HELP.....GOD BLESS YOU
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