Chapter 3 Test A

1

Write the equation of a line with a slope of 3/4 and a y-intercept of -11. Write your answer in slope-intercept form.

3

Write the equation of a line that passes through the points (-2, 10) and (-1, 13). Write your answer in slope-intercept form.

2

Write the equation of a line parallel to y = 1/3x + 2 through the point (12, -8). Write your answer in slope-intercept form.

2

Write the equation of a line perpendicular to y = 4x + 2 through the point (12, -5). Write your answer in slope-intercept form.

Use the linear equation below for the next 3 questions.

1

What is the slope?

1

What is the y-intercept?

2

Using the graph provided, graph the equation.

1

Determine of the following pairs of lines are parallel, perpendicular, or neither:

Parallel

Perpendicular

Neither

1

Determine of the following pairs of lines are parallel, perpendicular, or neither:

Parallel

Perpendicular

Neither

3

Determine of the following pairs of lines are parallel, perpendicular, or neither:
Line 1: (-1, 2) and (2, 3)
Line 2: (0, 0) and (3, 1)

Parallel

Perpendicular

Neither

2

Determine of the following pairs of lines are parallel, perpendicular, or neither:
Line 1: (0, 1) and (1, 3)
Line 2: (1, -4) and (3, -5)

Parallel

Perpendicular

Neither

Use the diagram below for the next 6 questions.

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1

_______ and e are alternate interior angles.

1

_______ and g are vertical angles.

1

_______ and h are corresponding angles.

1

_______ and b form a linear pair.

1

Use the diagram below for the next 6 questions.

For each question, find the measure of the indicated angle. The angle measures will change for each question.

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1

If m\angle{1} = 65^o, then m\angle{4} = ________

1

If m\angle{1} = 110^o, then m\angle{8} = ________

1

If m\angle{1} = 71^o, then m\angle{5} = ________

1

If m\angle{1} = 54^o, then m\angle{2} = ________

1

If m\angle{3} = 117^o, then m\angle{5} = ________

1

Use the diagram below for the next 4 questions.

For each question, identify each pair of segments as parallel, perpendicular, skew, or none.

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1

\overline{YS} and \overline{WQ}

Parallel

Perpendicular

Skew

None

1

Parallel lines are coplanar.

Nokorɛ

Ɛnyɛ ampa

1

Skew lines never intersect.

Nokorɛ

Ɛnyɛ ampa

1

Skew lines are coplanar.

Nokorɛ

Ɛnyɛ ampa

1

Parallel lines intersect at exactly one point.

Nokorɛ

Ɛnyɛ ampa

1

Parallel lines have slopes that are opposites.

Nokorɛ

Ɛnyɛ ampa

1

Perpendicular lines have slopes that are opposite reciprocals of each other.

Nokorɛ

Ɛnyɛ ampa

1

Using the diagram below, find the value of x.

1

Using the diagram below, find the value of x.

1

Using the diagram below, find the value of x.

1

Using the diagram below, find the value of x.

Use the diagram below for the next 2 questions.

For each question, name the parallel lines given the provided angle relationship.

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Use the diagram below for the next 4 questions.

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1

Is r // s?

Yes

No

1

Is r // t?

Yes

No

1

Use the proof below for the next 4 questions.

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1

Reason #2

1

Reason #3

1

Reason #4

1

Reason #5

Use the proof below for the next 4 questions.

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1

Reason #2

1

Reason #3

1

Reason #4

1

Reason #5

Use the proof below for the next 4 questions.

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1

Reason #2

1

Reason #3

1

Reason #4

1

Reason #5

Use the proof below for the next 8 questions.

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1

Reason #5

1

Statement #6

1

Statement #7

1

0

Chapter 3 Test A

Write the equation of a line with a slope of 3/4 and a y-intercept of -11. Write your answer in slope-intercept form.

Write the equation of a line that passes through the points (-2, 10) and (-1, 13). Write your answer in slope-intercept form.

Write the equation of a line parallel to y = 1/3x + 2 through the point (12, -8). Write your answer in slope-intercept form.

Write the equation of a line perpendicular to y = 4x + 2 through the point (12, -5). Write your answer in slope-intercept form.

What is the slope?

What is the y-intercept?

Using the graph provided, graph the equation.

Determine of the following pairs of lines are parallel, perpendicular, or neither:

Determine of the following pairs of lines are parallel, perpendicular, or neither:

Determine of the following pairs of lines are parallel, perpendicular, or neither:Line 1: (-1, 2) and (2, 3)Line 2: (0, 0) and (3, 1)

Determine of the following pairs of lines are parallel, perpendicular, or neither:Line 1: (0, 1) and (1, 3)Line 2: (1, -4) and (3, -5)

_______ and e are alternate interior angles.

_______ and g are vertical angles.

_______ and h are corresponding angles.

_______ and b form a linear pair.

If m\angle{1} = 65o, then m\angle{4} = ________

If m\angle{1} = 110o, then m\angle{8} = ________

If m\angle{1} = 71o, then m\angle{5} = ________

If m\angle{1} = 54o, then m\angle{2} = ________

If m\angle{3} = 117o, then m\angle{5} = ________

\overline{YS} and \overline{WQ}

Parallel lines are coplanar.

Skew lines never intersect.

Skew lines are coplanar.

Parallel lines intersect at exactly one point.

Parallel lines have slopes that are opposites.

Perpendicular lines have slopes that are opposite reciprocals of each other.

Using the diagram below, find the value of x.

Using the diagram below, find the value of x.

Using the diagram below, find the value of x.

Using the diagram below, find the value of x.

\angle{1} \cong \angle{4}

Is r // s?

Is r // t?

Reason #2

Reason #3

Reason #4

Reason #5

Reason #2

Reason #3

Reason #4

Reason #5

Reason #2

Reason #3

Reason #4

Reason #5

Reason #5

Statement #6

Statement #7

BONUS: Complete the following proof in the Show Your Work section. (3 points)

Write the equation of a line with a slope of 3/4 and a y-intercept of -11. Write your answer in slope-intercept form.

Write the equation of a line that passes through the points (-2, 10) and (-1, 13). Write your answer in slope-intercept form.

Write the equation of a line parallel to y = 1/3x + 2 through the point (12, -8). Write your answer in slope-intercept form.

Write the equation of a line perpendicular to y = 4x + 2 through the point (12, -5). Write your answer in slope-intercept form.

What is the slope?

What is the y-intercept?

Using the graph provided, graph the equation.

Determine of the following pairs of lines are parallel, perpendicular, or neither:

Determine of the following pairs of lines are parallel, perpendicular, or neither:

Determine of the following pairs of lines are parallel, perpendicular, or neither:Line 1: (-1, 2) and (2, 3)Line 2: (0, 0) and (3, 1)

Determine of the following pairs of lines are parallel, perpendicular, or neither:Line 1: (0, 1) and (1, 3)Line 2: (1, -4) and (3, -5)

_______ and e are alternate interior angles.

_______ and g are vertical angles.

_______ and h are corresponding angles.

_______ and b form a linear pair.

_______ and b are alternate exterior angles.

_______ and e are consecutive interior angles.

If m\angle{1} = 65o, then m\angle{4} = ________

If m\angle{1} = 110o, then m\angle{8} = ________

If m\angle{1} = 71o, then m\angle{5} = ________

If m\angle{1} = 54o, then m\angle{2} = ________

If m\angle{3} = 117o, then m\angle{5} = ________

If m\angle{4} = 62o, then m\angle{5} = ________

\overline{YS} and \overline{WQ}

\overline{WQ} and \overline{YX}

\overline{YX} and \overline{XZ}

\overline{QT} and \overline{QR}

Parallel lines are coplanar.

Determine of the following pairs of lines are parallel, perpendicular, or neither:
Line 1: (-1, 2) and (2, 3)
Line 2: (0, 0) and (3, 1)

Determine of the following pairs of lines are parallel, perpendicular, or neither:
Line 1: (0, 1) and (1, 3)
Line 2: (1, -4) and (3, -5)

If m\angle{1} = 65^o, then m\angle{4} = ________

If m\angle{1} = 110^o, then m\angle{8} = ________

If m\angle{1} = 71^o, then m\angle{5} = ________

If m\angle{1} = 54^o, then m\angle{2} = ________

If m\angle{3} = 117^o, then m\angle{5} = ________

Determine of the following pairs of lines are parallel, perpendicular, or neither:
Line 1: (-1, 2) and (2, 3)
Line 2: (0, 0) and (3, 1)

Determine of the following pairs of lines are parallel, perpendicular, or neither:
Line 1: (0, 1) and (1, 3)
Line 2: (1, -4) and (3, -5)

If m\angle{1} = 65^o, then m\angle{4} = ________

If m\angle{1} = 110^o, then m\angle{8} = ________

If m\angle{1} = 71^o, then m\angle{5} = ________

If m\angle{1} = 54^o, then m\angle{2} = ________

If m\angle{3} = 117^o, then m\angle{5} = ________

If m\angle{4} = 62^o, then m\angle{5} = ________

If r // s and s // t, then // ?

If m\angle{4} = 62^o, then m\angle{5} = ________

If r // s and s // t, then // ?