Grade 11 Angle Proofs Worksheet
A worksheet for Grade 11 students focusing on geometric angle proofs, covering concepts like complementary, supplementary, vertical, and corresponding angles.
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Angle Proofs Worksheet
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Read each question carefully and provide a complete proof or answer as requested. Show all your work and clearly state your reasons for each step.
1. Given two intersecting lines forming angles ∠1, ∠2, ∠3, and ∠4 such that ∠1 and ∠3 are vertical angles. Prove that ∠1 ≅ ∠3.
2. In the diagram below, lines 'a' and 'b' are parallel, and line 't' is a transversal. Which of the following statements is true regarding corresponding angles?
∠1 and ∠8 are corresponding angles.
∠2 and ∠6 are corresponding angles.
∠3 and ∠5 are corresponding angles.
∠4 and ∠7 are corresponding angles.
3. Two angles are if their sum is 90 degrees.
4. If two parallel lines are cut by a transversal, then alternate interior angles are .
5. All right angles are congruent.
True
False
6. The sum of the measures of supplementary angles is 180 degrees.
True
False
7. Given that line m is parallel to line n, and line p is a transversal. Prove that consecutive interior angles are supplementary.
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