# Parallel Lines And Transversals

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question x = 59, m∠8 = 107°
If m∠3 = (x + 14)° and m∠2 = (3x - 70)°, What is m∠8?
question x = 14, m∠4 = 34°
If m∠8 = (2x + 6)° and m∠2 = (6x - 50)°, What is m∠4?
question x = 20, m∠5 = 155°
If m∠7 = (9x - 25)° and m∠1 = (4x + 75)°, What is m∠5?
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Alternate Interior Angles Theorem
If two parallel lines are cut by a transversal, then the alternate interior angles are congruent.
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corresponding angles
Angles that lie on the same side of the transversal and in corresponding positions.
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Corresponding Angles Postulate
If two lines parallel, then corresponding angles are congruent.
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Converse of Corresponding Angles Postulate
If two coplanar lines are cut by a transversal so that a pair of corresponding angles are congruent, then the two lines are parallel.
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alternate exterior angles
Angles that lie on the same side of the transversal and in corresponding positions.
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Converse of Alternate Exterior Angles Theorem
If two coplanar lines are cut by a transversal so that a pair of alternate exterior angles are congruent, then the two lines are parallel.
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Alternate Exterior Angles Theorem
If two parallel lines are cut by a transversal, then the alternate exterior angles are congruent.
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same side interior angles
Angles between 2 lines and on the same side of a transversal.
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Same Side Interior Angles Theorem
If two parallel lines are cut by a transversal, then the same side interior angles are supplementary.
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Converse of Same Side Interior Angles Theorem
If two coplanar lines are cut by a transversal so that a pair of same side interior angles are supplementary, then the two lines are parallel.
question Same Side Interior Angles
Type of Angles?
question Alternate Interior Angles
Type of Angles?
question Alternate Exterior Angles
Type of Angles?
question Corresponding Angles
Type of Angles?
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perpendicular; midpoint
The perpendicular bisector of a segment is a line ___ to a segment at the segment's ___.
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perpendicular
The shortest segment from a point to a line is ___ to the line.
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perpendicular
⊥ means ___.
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parallel
|| means ___.
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congruent
If two intersecting lines form a linear pair of ___ angles, then the lines are perpendicular.
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parallel
If two coplanar lines are perpendicular to the same line, then the two lines are ___ to each other.
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perpendicular
In a plane, if a transversal is perpendicular to one of two parallel lines, then it is ___ to the other line.
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Skew
___ lines are not coplanar. They are not parallel and they do not intersect.
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intersect
Parallel planes are planes that do not ___.
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Parallel
___ lines are coplanar and do not intersect.
question skew
Are the lines parallel, perpendicular, or skew?
question Corresponding Angles
What type of angle pair are 1 and 5?
question Alternate Interior Angles
What type of angle pair are 3 and 6?
question Alternate Exterior Angles
What type of angle pair are 2 and 7?
question Same Side Interior Angles
What type of angle pair are 4 and 6?
question Linear Pair
What type of angle pair are 5 and 6?
question Vertical Angles
What type of angle pair are 6 and 7?
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Perpendicular
Lines p and q together contain a linear pair in which the angles are congruent. What is the relationship between lines p and q?
question AC
AF < AB and AF < _____
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supplementary
When two lines are parallel, the acute angles they form with a transversal are ___ to the obtuse angles.
question Parallel
Are planes ABF and DHG parallel or perpendicular?
question Perpendicular
Are planes EFG and BDH parallel or perpendicular?
question Parallel
Are lines CG and BF parallel or perpendicular?
question Perpendicular
Are lines GH and FH parallel or perpendicular?
question Line n
Which line is the transversal?
question 3, 6, 7
Which angles have the same measure as angle 2?
question 1, 4, 8
Which angles have the same measure as angle 5?
question 1, 4, 5, 8
Which angles are supplementary to angle 6?
question 2, 3, 6, 7
Which angles are supplementary to angle 4?
question EFH or HFE
Angle ABF and angle ___ are corresponding angles.
question Congruent
Congruent or Supplementary?
question 95 degrees
Find x.
question 16
Find x if f || g.
question x = 77, y = 63
Solve for x and y.
question None (151 + 28 = 179)
Which lines, if any, can be proved parallel given the diagram?
question n and p  