Geometry Worksheet
Proving Angles Congruent -
Complementary, Supplementary, Vertical & Adjacent
Angles
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This worksheet begins with questions on the definitions of complementary, supplementary,
vertical, and adjacent angles. Students must use these definitions to find
the measure of angles and to complete two-column proofs. Worksheet requires
an understanding of the properties of equality and congruence. |
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Sample Problems from Worksheet (diagrams not shown) |
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Angles – Supplementary, Complementary, Vertical, Adjacent – Proofs
1) Two angles whose measures have a sum of 180 are ____.
2) Two angles whose measures have a sum of 90 are ____.
3) ____ angles are two coplanar angles with a common side, common vertex,
and no common interior points.
Write an equation and solve.
5) A supplement of an angle is 4 times the complement of the angle. Find the measure
of the angle. Then find the measure of its complement and supplement.
6) The measure of a complement of an angle is three more than twice the measure
of the angle. Find the measure of the angle and its complement.
7) A supplement of an angle is four times the measure of the angle. Find the measure
of the angle.
8) Vertical Angles are always ____________________. (complementary, supplementary,
or congruent).
9-12) Find the value of x.
13-14) Complete a two-column proof.
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