Grade 12 Angle Proofs Worksheet
This worksheet covers angle proofs for Grade 12 students, including complementary, supplementary, vertical, and corresponding angles, as well as proofs involving parallel lines.
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Grade 12 Angle Proofs Worksheet
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Read each question carefully and provide a complete proof or explanation where required. Use proper geometric terminology and theorems.
1. If two angles are supplementary and one angle measures 75°, what is the measure of the other angle? Justify your answer.
2. Define vertical angles and explain their relationship.
3. Which of the following statements is true about complementary angles?
They add up to 180°.
They form a linear pair.
They add up to 90°.
They are always congruent.
4. If two parallel lines are cut by a transversal, which of the following angle pairs are NOT necessarily congruent or supplementary?
Corresponding angles
Alternate interior angles
Consecutive interior angles
Adjacent angles
5. Given: Lines AB and CD intersect at point E. Prove: ∠AEC ≅ ∠BED
6. Given: Line p || Line q, and Line t is a transversal. Prove: Alternate interior angles are congruent.
7. If two angles are adjacent, they must be supplementary.
True
False
8. The sum of the angles in a triangle is always 180°.
True
False