Chapter 3 Review 2022

1

Write the equation of a line with a slope of -1/2 and a y-intercept of 8.

1

Write the equation of a line that passes through the points (2, 3) and (5, -3).

1

Write the equation of a line parallel to y = 1/4x + 2 through the point (12, -5).

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Write the equation of a line perpendicular to y = 1/4x + 2 through the point (12, -5).

Use the linear equation below for the next 2 questions.

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What is the slope of this line?

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What is the y-intercept of this line?

1

Which of the following is the graph of the equation?

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Use the linear equation below for the next 2 questions.

1

What is the slope of this line?

1

What is the y-intercept of this line?

1

Which of the following is the graph of the equation?

null

1

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

Parallel

Perpendicular

Neither

1

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

Parallel

Perpendicular

Neither

1

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

Parallel

Perpendicular

Neither

1

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

Parallel

Perpendicular

Neither

Use the lines below for the next 2 questions.

Line 1: (10, 7) and (13, 9)

Line 2: (-4, 3) and (-1, 5)

1

What is the slope of Line 1?

1

What is the slope of Line 2?

1

Are these lines parallel, perpendicular, or neither?

Parallel

Perpendicular

Neither

Use the lines below for the next 2 questions.

Line 1: (2, -3) and (7, -1)

Line 2: (1, 9) and (3, 4)

1

What is the slope of Line 1?

1

What is the slope of Line 2?

1

Are these lines parallel, perpendicular, or neither?

Parallel

Perpendicular

Neither

Use the diagram below for the next 5 questions.

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1

\angle{1} and \angle{} _______ are Alternate Exterior Angles.

1

\angle{3} and \angle{} _______ are Consecutive Interior Angles.

1

\angle{3} and \angle{} _______ are Alternate Interior Angles.

1

\angle{2} and \angle{} _______ are Corresponding Angles.

1

\angle{5} and \angle{} _______ are Vertical Angles.

1

Consecutive Interior Angles are _________________.

Congruent

Supplementary

1

Corresponding Angles are _________________.

Congruent

Supplementary

1

Alternate Interior Angles are _________________.

Congruent

Supplementary

1

Alternate Exterior Angles are _________________.

Congruent

Supplementary

1

Vertical Angles are _________________.

Congruent

Supplementary

1

A Linear Pair is _________________.

Congruent

Supplementary

Use the diagram below for the next 3 questions.

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If m\angle{1} = 72^o, then m\angle{5} = ________

1

If m\angle{4} = 66^o, then m\angle{6} = ________

1

If m\angle{7} = 102^o, then m\angle{2} = ________

1

If m\angle{3} = 112^o, then m\angle{6} = ________

1

If m\angle{2} = 92^o, then m\angle{3} = ________

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{RS} and \overline{QR}

Parallel

Perpendicular

Skew

None

1

Two lines that are not coplanar and do not intersect are called?

1

Which of the following is the difference between Parallel Lines and Skew Lines?

Their points of intersection

Their direction

Their length

1

Perpendicular Lines have slopes that are _________________________________.

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.

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 8 questions.

For each question, determine which lines (a & b, c & d, or none), if any, must be parallel with the given information.

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Use the diagram below for the next 6 questions.

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1

Is d // e?

Yes

No

1

Use the proof below for the next 5 questions.

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1

Reason #1

1

Reason #2

1

Reason #3

1

Reason #4

1

Reason #5

Use the proof below for the next 5 questions.

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1

Reason #1

1

Reason #2

1

Reason #3

1

Reason #4

1

Reason #5

In the proof below, first reorder the statements to complete the left side of the proof. Then, provide the reasons for each statement.

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Put the statements in the correct order to complete the proof.

\angle{1} \cong \angle{3}
a // b
\angle{1} \cong \angle{2}
\angle{2} \cong \angle{3}
m // n

Using the correct order of the proof completed above, state the reasons for each step.

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1

Reason #1

1

Reason #2

1

Reason #3

1

Reason #4

1

Reason #5

In the proof below, first reorder the remaining statements to complete the left side of the proof. Then, provide the reasons for each statement.

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1

Put the statements in the correct order to complete the proof.

\angle{3} \cong \angle{6}
-2x + 28 = -6
m\angle{3} = m\angle{6}
4x + 28 = 6x - 8
-2x = -36

Using the correct order of the proof completed above, state the reasons for each step.

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Reason #4

1

Reason #5

1

Reason #6

1

Reason #7

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Chapter 3 Review 2022

Write the equation of a line with a slope of -1/2 and a y-intercept of 8.

Write the equation of a line that passes through the points (2, 3) and (5, -3).

Write the equation of a line parallel to y = 1/4x + 2 through the point (12, -5).

Write the equation of a line perpendicular to y = 1/4x + 2 through the point (12, -5).

What is the slope of this line?

What is the y-intercept of this line?

Which of the following is the graph of the equation?

What is the slope of this line?

What is the y-intercept of this line?

Which of the following is the graph of the equation?

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

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

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

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

What is the slope of Line 1?

What is the slope of Line 2?

Are these lines parallel, perpendicular, or neither?

What is the slope of Line 1?

What is the slope of Line 2?

Are these lines parallel, perpendicular, or neither?

\angle{1} and \angle{} _______ are Alternate Exterior Angles.

\angle{3} and \angle{} _______ are Consecutive Interior Angles.

\angle{3} and \angle{} _______ are Alternate Interior Angles.

\angle{2} and \angle{} _______ are Corresponding Angles.

\angle{5} and \angle{} _______ are Vertical Angles.

Consecutive Interior Angles are _________________.

Corresponding Angles are _________________.

Alternate Interior Angles are _________________.

Alternate Exterior Angles are _________________.

Vertical Angles are _________________.

A Linear Pair is _________________.

If m\angle{1} = 72o, then m\angle{5} = ________

If m\angle{4} = 66o, then m\angle{6} = ________

If m\angle{7} = 102o, then m\angle{2} = ________

If m\angle{3} = 112o, then m\angle{6} = ________

If m\angle{2} = 92o, then m\angle{3} = ________

\overline{RS} and \overline{QR}

Two lines that are not coplanar and do not intersect are called?

Which of the following is the difference between Parallel Lines and Skew Lines?

Perpendicular Lines have slopes that are _________________________________.

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.

Using the diagram below, find the value of x.

Using the diagram below, find the value of x.

Is d // e?

Reason #1

Reason #2

Reason #3

Reason #4

Reason #5

Reason #1

Reason #2

Reason #3

Reason #4

Reason #5

Put the statements in the correct order to complete the proof.

Reason #1

Reason #2

Reason #3

Reason #4

Reason #5

Put the statements in the correct order to complete the proof.

Reason #4

Reason #5

Reason #6

Reason #7

Write the equation of a line with a slope of -1/2 and a y-intercept of 8.

Write the equation of a line that passes through the points (2, 3) and (5, -3).

Write the equation of a line parallel to y = 1/4x + 2 through the point (12, -5).

Write the equation of a line perpendicular to y = 1/4x + 2 through the point (12, -5).

What is the slope of this line?

What is the y-intercept of this line?

Which of the following is the graph of the equation?

What is the slope of this line?

What is the y-intercept of this line?

Which of the following is the graph of the equation?

If m\angle{1} = 72^o, then m\angle{5} = ________

If m\angle{4} = 66^o, then m\angle{6} = ________

If m\angle{7} = 102^o, then m\angle{2} = ________

If m\angle{3} = 112^o, then m\angle{6} = ________

If m\angle{2} = 92^o, then m\angle{3} = ________

If m\angle{1} = 72^o, then m\angle{5} = ________

If m\angle{4} = 66^o, then m\angle{6} = ________

If m\angle{7} = 102^o, then m\angle{2} = ________

If m\angle{3} = 112^o, then m\angle{6} = ________

If m\angle{2} = 92^o, then m\angle{3} = ________

If m\angle{7} = 96^o, then m\angle{5} = ________

If e // h and h // j, then // ?

If e \perp f and f \perp j, then // ?