Grade 10 Angle Proofs Worksheet

This worksheet covers angle proofs, including complementary, supplementary, vertical, and angles on parallel lines intersected by a transversal, suitable for Grade 10 geometry students.

Grade 10 Math GeometryAngle Proofs

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSG.CO.C.9CCSS.MATH.CONTENT.HSG.GPE.B.5

Topics

MathGeometryAngle ProofsGrade 10

7 sections · Free to use · Printable

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Grade 10 Angle Proofs Worksheet

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Read each question carefully and provide a complete proof or answer the question as instructed. Show all your work.

1. Given lines AB and CD intersect at point O. Prove that vertical angles are equal (∠AOC = ∠BOD).

2. Complete the following statements regarding parallel lines intersected by a transversal.

a. If L1 || L2, then corresponding angles (e.g., ∠1 and ∠5) are .

b. If L1 || L2, then alternate interior angles (e.g., ∠4 and ∠5) are .

c. If L1 || L2, then consecutive interior angles (e.g., ∠4 and ∠6) are .

3. Which of the following pairs of angles are always congruent?

Complementary angles

Supplementary angles

Vertical angles

Adjacent angles

4. Determine if the following statements are true or false.

a. If two angles form a linear pair, then they are always congruent.

True

False

b. The sum of the angles in a triangle is 180 degrees.

True

False

5. In the figure below, lines m and n are parallel, and line t is a transversal. If m∠1 = 75°, find the measure of all other angles. Justify your answers with angle properties.