3.1 Pairs of Lines & Angles & 3.2 Parallel Lines & Transversals

​3.1 Pairs of Lines and Angles and 3.2 Parallel Lines and Transversals

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​" Just because something is DIFFICULT doesn't mean you shouldn't try. It just means you should try harder."

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-Unknown

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Multiple Choice

Identify a pair of parallel lines.

• Lines AB and CD

• Lines AB and BD

• Lines AC and BA

• LInes CD and BD

Multiple Choice

Identify a pair of perpendicular lines.

• Lines AB and CD

• Lines AB and BD

• Lines AC and BD

• LInes BC and BD

Multiple Choice

Identify a pair of skew lines. #3

• Lines d and c

• Lines f and g

• Lines c and e

• Lines f and d

Multiple Choice

Identify a pair of parallel planes. #1

• Planes A and B

• Planes C and D

• Planes F and G

• Planes E and B

Multiple Choice

What type of angles are

$$<1\ and\ <7$$  ? #7

• alternate interior

• alternate exterior

• corresponding

• consecutive interior

Multiple Choice

What type of angles are

$$<2\ and\ <5$$  ? #8

• alternate interior

• alternate exterior

• corresponding

• consecutive interior

Multiple Choice

What type of angles are

$$<4\ and\ <9$$  ? #10

• alternate interior

• alternate exterior

• corresponding

• consecutive interior

Interior vs. Exterior

Angles in between the parallel lines are called INTERIOR ANGLES.

Angles that are outside of the parallel lines are EXTERIOR ANGLES.

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Multiple Choice

Find the measure of angle 1. #16

• 28^o

• 136^o

• 44^o

• 6^o

Multiple Choice

Solve for the value of x. #20

• A

• B

• C

• D

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Alternate Interior Angle Theorem

The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent .

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Multiple Choice

What are alternate interior angles? #24

• A pair of angles on the outer side of two lines cut by a transversal, but on opposite sides of the transversal

• The angles opposite of each other when two lines cross

• A pair of angles on the inner side of two lines cut by a transversal, but on opposite sides of the transversal

• Two angles in the same position when parallel lines are cut by a transversal

Multiple Choice

Solve for the value of x. #22

• A

• B

• C

• D

Multiple Choice

For what value of x are the lines parallel? What is the angle relationship between the angles given? #23

• x = 27 by Alternate Interior Angles Thm

• x = 63 by Alternate Interior Angles Thm

• x = 17 by Alternate Exterior Angles Thm

• x = 63 by Alternate Exterior Angles Thm

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Multiple Choice

Lines r and s are cut by a transversal. What is the value of x? #29

• 43
• 37
• 143
• 37

Multiple Choice

Solve for x and solve for the bolded angle. #31

• x = 4.9; Bold Angle = 89.1

• x = 4.9; Bold Angle = 91

• x = 5; Bold Angle = 89.1

• x = 5; Bold Angle = 91

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Multiple Choice

Solve for x & list how you found it. #18

• 32... The sum of the Same Side Interior angles = 180

• 32... Alternate Interiors = 180

• 32... Corresponding angles are congruent

• -20... Alternate Interiors are equal

• -20... Same Side Interiors are =

Multiple Choice

#19

• x=29

• x=61

• x=14

• x=20