Transversals in Geometry
Explore the angles formed by transversal lines intersecting parallel and non-parallel lines, including corresponding, alternate interior, alternate exterior, and consecutive interior angles.
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Transversals in Geometry
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Read each question carefully and provide the best answer. Show all your work for short answer questions.
1. Which pair of angles are on opposite sides of the transversal and between the parallel lines?
Corresponding angles
Alternate interior angles
Alternate exterior angles
Consecutive interior angles
2. If two parallel lines are cut by a transversal, and one corresponding angle measures 75°, what is the measure of its corresponding angle?
15°
75°
105°
180°
3. When two parallel lines are intersected by a transversal, alternate exterior angles are .
4. Consecutive interior angles are also known as angles.
5. In the diagram below, lines 'a' and 'b' are parallel, and line 't' is a transversal. If angle 1 measures 110°, find the measure of angle 8. Justify your answer.
6. If two non-parallel lines are intersected by a transversal, then corresponding angles are always congruent.
True
False
Match the angle pair with its correct relationship when parallel lines are cut by a transversal.
7. Corresponding Angles
a. Supplementary
8. Alternate Interior Angles
b. Congruent
9. Consecutive Interior Angles
c. Congruent
10. Describe the three main types of angle pairs formed when a transversal intersects two parallel lines. For each type, explain their relationship and provide an example.