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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.

Grade 10 Math GeometryTransversal of Parallel Lines
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.8.G.A.5CCSS.MATH.CONTENT.HSA.CED.A.1

Topics

geometryparallel linestransversalanglesgrade 10
7 sections · Free to use · Printable
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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?

a

Consecutive interior angles

b

Same-side exterior angles

c

Alternate interior angles

d

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.

abt12435687

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.

T

True

F

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.