Transversal of Parallel Lines Worksheet
Explore the properties of angles formed when a transversal intersects parallel lines, including corresponding, alternate interior, alternate exterior, and consecutive interior angles.
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Transversal of Parallel Lines
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. When two parallel lines are intersected by a transversal, which of the following pairs of angles are congruent?
Consecutive interior angles
Same-side exterior angles
Alternate interior angles
Vertical angles are not always congruent
2. When a transversal intersects two parallel lines, the sum of the measures of consecutive interior angles is .
3. angles are in the same relative position at each intersection where a transversal crosses two lines.
4. In the diagram below, lines 'a' and 'b' are parallel, and line 't' is a transversal.
If the measure of angle 1 is 110 degrees, what is the measure of angle 7? Justify your answer.
5. Alternate exterior angles are always supplementary when parallel lines are cut by a transversal.
True
False
6. Two parallel lines are intersected by a transversal. One of the interior angles on the same side of the transversal measures (2x + 10) degrees, and the other measures (3x - 20) degrees. Find the value of x and the measure of each angle.
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