Transversal of Parallel Lines
Explore the 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 provide the best answer. Show all your work for full credit.
1. Which pair of angles are congruent when two parallel lines are cut by a transversal?
Consecutive interior angles
Same-side exterior angles
Alternate interior angles
Linear pairs
2. If two lines are cut by a transversal such that corresponding angles are congruent, then the lines are:
Perpendicular
Parallel
Skew
Intersecting
3. When a transversal intersects two parallel lines, the alternate exterior angles are .
4. If the measure of an angle is 70 degrees, its corresponding angle will have a measure of degrees.
5. In the diagram below, lines 'a' and 'b' are parallel, and line 't' is a transversal. If m∠1 = 110°, find the measures of the angles listed below.
a) m∠2 =
b) m∠3 =
c) m∠4 =
d) m∠5 =
e) m∠6 =
f) m∠7 =
g) m∠8 =
6. Explain the relationship between consecutive interior angles when a transversal intersects two parallel lines. What is their sum?
7. Alternate exterior angles are always supplementary.
True
False
8. Lines 'm' and 'n' are parallel. A transversal intersects them such that one pair of alternate interior angles are (3x + 10)° and (5x - 20)°. Find the value of x.