501 Geometry Questions

(Jacob Rumans) #1

Set 14



  1. True.The angles of a pair of parallel lines cut by a transversal are
    always either supplementary or congruent, meaning their
    measurements either add up to 180°, or they are the same measure.

  2. False.If the four rays made two pairs of opposite rays, then this
    statement would be true; however, any four rays extending from a
    single point do not have to line up into a pair of straight lines; and
    without a pair of straight lines there are no supplementary angle pairs.

  3. True.

  4. False.Adjacent angles do not always form straight lines; to be
    adjacent, angles need to share a vertex, a side, and no interior
    points. However, adjacent angles that do form a straight line are
    always right angles.

  5. False.Parallel lines are coplanar; skew lines are not.

  6. True.A pair of supplementary angles must measure 180°. If the
    pair is also congruent, they must measure 90° each. An angle that
    measures 90° is a right angle.

  7. True.When two lines intersect, they create four angles. The two
    angles opposite each other are congruent. Adjacent angles are
    supplementary. If vertical angles are acute, angles adjacent to them
    must be obtuse in order to measure 180°.

  8. False.Vertical angles cannot be equal to or more than 180°;
    otherwise, they could not form supplementary angle pairs with
    their adjacent angle.

  9. False.Perpendicular lines form all right angles.

  10. True.Adjacent interior angles form supplementary pairs; their
    joint measurement is 180°. Two sets of adjacent interior angles
    must equal 360°.

  11. True.Two sets of adjacent exterior angles must equal 360°.


501 Geometry Questions
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