Parallel and Perpendicular Lines Worksheet
Explore parallel and perpendicular lines, identify their properties, and solve problems involving angles formed by transversals.
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Parallel and Perpendicular Lines
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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 best describes parallel lines?
Lines that intersect at a right angle.
Lines that never intersect and are always the same distance apart.
Lines that cross each other at any angle.
Lines that form acute angles.
2. Perpendicular lines form an angle of:
45 degrees
90 degrees
180 degrees
360 degrees
1. Lines that intersect at a right angle are called lines.
2. Parallel lines will never .
3. A line that intersects two or more parallel lines is called a .
1. Draw a pair of parallel lines and a transversal intersecting them. Label two alternate interior angles.
2. If two lines are perpendicular to the same line, what can you conclude about the two lines?
Use the diagram below to answer the following questions.
3. Name a pair of corresponding angles in the diagram.
4. Name a pair of vertical angles in the diagram.
1. All intersecting lines are perpendicular.
True
False
2. If two parallel lines are cut by a transversal, then the alternate interior angles are congruent.
True
False
1. Line A is parallel to Line B. Line C is a transversal. If angle 1 (from the diagram above) measures 70 degrees, what is the measure of angle 8? Explain your reasoning.