Transversals Worksheet
Explore angles formed by transversals intersecting parallel and non-parallel lines with this Grade 10 Geometry worksheet.
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Transversals Worksheet
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Read each question carefully and answer to the best of your ability. Show all your work when necessary.
1. If two parallel lines are cut by a transversal, which of the following angle pairs are always congruent?
Consecutive interior angles
Alternate exterior angles
Same-side exterior angles
Corresponding angles are supplementary
2. In the diagram below, lines 'm' and 'n' are parallel, and line 't' is a transversal. If ∠1 = 110°, what is the measure of ∠8?
70°
110°
90°
180°
3. When a transversal intersects two parallel lines, alternate interior angles are .
4. Consecutive interior angles are also known as interior angles.
5. If corresponding angles are congruent, then the two lines intersected by the transversal are .
6. Vertical angles are always supplementary.
True
False
7. If two lines are cut by a transversal and alternate exterior angles are congruent, then the lines are parallel.
True
False
8. Define a transversal line in your own words.
9. Given that lines 'p' and 'q' are parallel and cut by transversal 'r', if one of the corresponding angles measures 75°, what is the measure of its alternate interior angle? Explain your reasoning.
Match each angle pair with its relationship when parallel lines are cut by a transversal.
10. Corresponding Angles
a. Supplementary
11. Alternate Interior Angles
b. Congruent
12. Consecutive Interior Angles
c. Congruent