Transversals of Parallel Lines
This worksheet focuses on understanding and identifying angles formed when a transversal intersects parallel lines, including corresponding, alternate interior, alternate exterior, and consecutive interior angles.
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Transversals of Parallel Lines
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Read each question carefully and answer to the best of your ability. Refer to the diagram provided for each question.
Use the diagram below to answer questions 1 and 2.
1. Which of the following pairs are corresponding angles?
∠1 and ∠8
∠2 and ∠6
∠3 and ∠6
∠4 and ∠5
2. Which of the following pairs are alternate interior angles?
∠1 and ∠7
∠4 and ∠6
∠3 and ∠5
∠2 and ∠8
Complete the following sentences about angles formed by transversals.
3. When a transversal intersects two parallel lines, angles are equal.
4. Alternate exterior angles are located on sides of the transversal and the parallel lines.
Use the diagram below to answer question 5.
5. If angle 'a' measures 110 degrees, what is the measure of angle 'e'? Explain your reasoning.
Determine if the following statements are true or false.
6. Consecutive interior angles are always congruent when a transversal intersects parallel lines.
True
False
7. Vertical angles are always equal.
True
False
Match each angle relationship with its definition.
8. Corresponding Angles
a. Angles on opposite sides of the transversal and outside the parallel lines.
9. Alternate Interior Angles
b. Angles in the same relative position at each intersection.
10. Alternate Exterior Angles
c. Angles on opposite sides of the transversal and between the parallel lines.