Parallel Lines and Triangles

​Quiz 3: 3.1-3.5 Review Lesson

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Multiple Choice

Given the following two parallel lines cut by a transversal.

Which pair of angles represent alternate exterior angles? #1

• $$\angle4$$  and $$\angle8$$  

• $$\angle7$$  and $$\angle5$$  

• $$\angle1$$  and  $$\angle2$$  

• $$\angle6$$  and  $$\angle5$$  

Multiple Select

Two lines are cut by a transversal. Which angle pairs must be congruent for the lines to be parallel? Select all that apply. #3

• Alternate Interior

• Alternate Exterior

• Corresponding

• Consecutive Interior

Multiple Choice

Find the measure of angle 1. #4

• 28^o
• 136^o
• 44^o
• 6^o

Multiple Choice

WHAT IS THE CORRECT EQUATION TO FIND THE VALUE OF X? #6

• X=12
• 8X - 17 + 5X +19 = 180
• 8X - 17 = 5X +19
• X= -12

Fill in the Blanks

Multiple Choice

Line l and m are cut by transversal n. Which statement proves that line l is parallel to line m? #15

• ∠2 ≅ ∠3

• ∠2 ≅ ∠6

• m∠7 + m∠8 = 180°

• m∠3 + m∠5 = 90°

Multiple Choice

Which could be used to prove the lines are parallel? #17

• Converse of the Corresponding Angles Theorem

• Converse of the Alternate Interior Angles Theorem

• Linear Pair Theorem

• Cannot be proved parallel

Multiple Choice

Which could be used to prove the lines are parallel? #20

• Converse of the Alternate Exterior Theorem

• Converse of the Corresponding Angles Theorem

• Converse of the Alternate Interior Angles Theorem

• Cannot be proved parallel

Multiple Choice

What is the reason these two lines are parallel or not parallel? #21

• The Converse of the Corresponding Angles Theorem

• The Converse of the Alternate Interior Angles Theorem

• The Converse of the Alternate Exterior Angles Theorem

• Vertical Angles Theorem

• The Converse of the Consecutive Interior ( Same-Side Interior) Angles Theorem

Multiple Choice

What is the shortest distance between a point and a line? #25

• The length of the perpendicular segment from the point to the line.

• The length of the parallel segment from the point to the line.

• The circumference of the semi-circle from the point to the line.

• None of the above.

Multiple Choice

Find the distance from point P to $$\overline{AB}$$  . #26

• 16 units

• 5.7 units

• 32 units

• 6.8 units

Multiple Choice

Determine which lines, if any, must be parallel.

#29

• $$l\parallel m$$

• $$n\parallel p$$

• $$m\parallel p$$

• None of the lines are parallel.

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Multiple Choice

Theorem 3-10: Perpendicular Transversal Theorem

In a plane, if a line is perpendicular to one of two parallel lines, then it is also _____ to the other. #37

• Parallel

• Perpendicular

• Not Enough Information

• Skew

Multiple Choice

Andrea constructs perpendicular lines (as shown at right). What basic construction is used to construct perpendicular lines? #35

• Copy a segment.

• Perpendicular Bisector

• Copy an angle

• Angle Bisector

Multiple Choice

y = 3/2x + 2

y = 2/3x + 6

These lines are...#41

• Parallel

• Perpendicular

• Neither

Multiple Choice

Which of the following lines goes through the point (0, 4) and is PARALLEL to y = 5x - 3? #44

HINT: PLUG (0,4) AND THE PARALLEL SLOPE INTO y=mx+b. SOLVE FOR b AND REWRITE THE EQUATION IN y=mx+b.

• y = 1/5x - 3

• y= 5x - 7

• y = 5x + 4

• y = -5x - 3

Multiple Choice

Determine the ratio of the directed line segment AB when partitioned by point P. #46

• 1:2

• 2:1

• 1:1

• 4:1

• 1:4

Multiple Choice

Given the points, A(-2 4) and B(7, -2), find the coordinates of the point P on directed line segment AB in the ratio 1:2. #47

The coordinates for point P are:

• (0, 1)

• (0, -1)

• (1,2)

• (2,1)

Multiple Choice

Ping lives at the corner of 3rd Street and 6th Avenue. Ari lives at the corner of 21st Street and 18th Avenue. There is a gym  $$\frac{2}{3}$$   the distance from Ping's home to Ari's home.

Where is the gym? #50

• 9th Street and 10th Avenue

• 12th Street and 12th Avenue

• 14th Street and 12th Avenue

• 15th Street and 14th Avenue