Transversals Review
A Grade 12 math worksheet focusing on angles formed by transversals intersecting parallel and non-parallel lines.
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Transversals Review
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Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.
1. Which of the following angle pairs are always congruent when two parallel lines are cut by a transversal?
Consecutive interior angles
Alternate exterior angles
Same-side interior angles
Vertical angles (only when the lines are parallel)
2. If two lines are intersected by a transversal and the corresponding angles are congruent, what can be concluded about the two lines?
The lines are perpendicular.
The lines are parallel.
The lines are intersecting but not perpendicular.
There is not enough information.
3. When a transversal intersects two parallel lines, alternate interior angles are .
4. Consecutive interior angles are also known as interior angles.
5. Consider two parallel lines, L1 and L2, intersected by a transversal T. If an angle formed by L1 and T measures 70 degrees, what is the measure of its corresponding angle with L2 and T? Explain your reasoning.
6. If two lines are cut by a transversal such that the alternate exterior angles are supplementary, then the two lines are parallel.
True
False
7. In the diagram below, lines 'a' and 'b' are parallel, and line 't' is a transversal. If angle 1 measures 110 degrees, find the measure of angle 8. Justify your answer.