Title: (Canvas-Quiz)G03_Parallel Perpendicular Lines
Course: HBUHSD Geometry Resource Course > Section: Unit 2: Rigid Transformations

Q: What four segments are parallel to plane MRQL?
- segments JK, KL, JM, and ML
- segments NP, KP, PQ, and JN
- segments JK, JN, NP, and KP
- segments JM, KL, NR, and PQ
A: segments JK, JN, NP, and KP

Q: What four segments are perpendicular to plane JKPN?
- segments ML, LQ, RQ, and MR
- segments MR, LQ, NR, and PQ
- segments JM, KL, PQ, and NR
- segments ML, RQ, JM, and NR
A: segments JM, KL, PQ, and NR

Q: Use the diagram to find the following.

Identify a pair of alternate exterior angles.
A: (a choice with no text)

Q: Use the diagram to find the following.

What are three pairs of corresponding angles?
- angles 1 & 2, 3 & 8, and 4 & 7
- angles 3 & 4, 7 & 8, and 1 & 6
- angles 1 & 7, 2 & 4, and 6 & 7
- angles 1 & 7, 8 & 6, and 2 & 4
A: angles 1 & 7, 8 & 6, and 2 & 4

Q: Which angles are corresponding angles?
- none of these
A: (a choice with no text)

Q: What is the relationship between and ?
- corresponding angles
- same-side interior angles
- alternate interior angles
- alternate exterior angles
A: alternate interior angles

Q: Which statement is true?
- are alternate angles.
- are alternate angles.
- are same-side interior angles.
- are same-side interior angles.
A: are same-side interior angles.

Q: This diagram of airport runway intersections shows two parallel runways. A taxiway crosses both runways.

How are and related?
- alternate interior angles
- corresponding angles
- same-side interior angles
- none of these
A: corresponding angles

Q: This diagram of airport runway intersections shows two parallel runways. A taxiway crosses both runways.

If Ð8 measures 127, what is the sum of the measures of Ð1 and Ð4?
- 254
- 307
- 127
- 106
A: 254

Q: Line r is parallel to line t. Find m6. The diagram is not to scale.
- 32
- 138
- 142
- 42
A: 42

Q: Which is a correct two-column proof?

Given:
Prove: and are supplementary.
- none of these
A: (a choice with no text)

Q: Which is a correct two-column proof?
Given: and are supplementary.
Prove:
- none of these
A: (a choice with no text)

Q: Find The diagram is not to scale.
- 66
- 56
- 124
- 103
A: 56

Q: Find .  The diagram is not to scale.
- 34
- 110
- 104
- 146
A: 34

Q: Find The diagram is not to scale.
- 106
- 74
- 64
- 84
A: 74

Q: The expressions in the figure below represent the measures of two angles.  Find the value of x.  .  The diagram is not to scale.
- 15
- 17
- –16
- 16
A: 16

Q: Find the value of x.  .  The diagram is not to scale.
- 148
- 116
- 64
- 32
A: 32

Q: Find the values of x and y. The diagram is not to scale.
- x = 51, y = 63
- x = 77, y = 63
- x = 63, y = 77
- x = 77, y = 65
A: x = 77, y = 63

Q: Which lines are parallel if ? Justify your answer.
- , by the Converse of the Same-Side Interior Angles Postulate
- , by the Converse of the Alternate Interior Angles Theorem
- , by the Converse of the Alternate Interior Angles Theorem
- , by the Converse of the Same-Side Interior Angles Postulate
A: , by the Converse of the Same-Side Interior Angles Postulate

Q: Which lines are parallel if ? Justify your answer.
- , by the Converse of the Same-Side Interior Angles Postulate
- , by the Converse of the Alternate Interior Angles Theorem
- , by the Converse of the Alternate Interior Angles Theorem
- , by the Converse of the Same-Side Interior Angles Postulate
A: , by the Converse of the Alternate Interior Angles Theorem

Q: Find the value of x for which p is parallel to q, if .The diagram is not to scale.
- 108
- 13
- 117
- 126
A: 13

Q: Find the value of x for which l is parallel to m. The diagram is not to scale.
- 28
- 56
- 84
- 152
A: 28

Q: Find the value of x for which l is parallel to m. The diagram is not to scale.
- 100
- 80
- 123
- 41
A: 41

Q: Each tie on the railroad tracks is perpendicular to both of the tracks. What is the relationship between the two tracks? Justify your answer.
- The two tracks are perpendicular by the definition of complementary angles.
- The two tracks are parallel by the Same-Side Interior Angles Postulate.
- The two tracks are perpendicular by the Perpendicular Transversal Theorem.
- The two tracks are parallel by the Converse of the Perpendicular Transversal Theorem.
A: The two tracks are parallel by the Converse of the Perpendicular Transversal Theorem.

Q: Each sheet of metal on a roof is perpendicular to the top line of the roof.  What can you conclude about the relationship between the sheets of roofing? Justify your answer.
- The sheets of metal are all parallel to each other by the Transitive Property of Parallel Lines.
- The sheets of metal are all parallel to each other by the Alternate Interior Angles Theorem.
- The sheets of metal are all parallel to each other because in a plane, if a line is perpendicular to one of two parallel lines, then it is also perpendicular to the other.
- The sheets of metal are all parallel to each other because in a plane, if two lines are perpendicular to the same line, then they are parallel to each other.
A: The sheets of metal are all parallel to each other because in a plane, if two lines are perpendicular to the same line, then they are parallel to each other.

Q: If and , what do you know about the relationship between lines a and b? Justify your conclusion with a theorem or postulate.
- , by the Perpendicular Transversal Theorem
- , by the Perpendicular Transversal Theorem
- , by the Alternate Exterior Angles Theorem
- not enough information
A: , by the Perpendicular Transversal Theorem

Q: Find the value of k. The diagram is not to scale.
- 72
- 108
- 105
- 42
A: 72

Q: Find the values of x, y, and z. The diagram is not to scale.
A: (a choice with no text)

Q: Find the value of x. The diagram is not to scale.
- 33
- 162
- 147
- 75
A: 33

Q: Find the value of x. The diagram is not to scale.

Given: , ,
- 28
- 30
- 14
- 76
A: 76

Q: Find the value of x. The diagram is not to scale.
- 33
- 70
- 23
- 13
A: 13

Q: A triangular playground has angles with measures in the ratio 8 : 6 : 4. What is the measure of the smallest angle?
- 30
- 40
- 5
- 20
A: 40

Q: The folding chair has different settings that change the angles formed by its parts. Suppose is 34 and is 76. Find . The diagram is not to scale.
- 130
- 110
- 100
- 120
A: 110

Q: A star patterned quilt has a star with the angles shown. What is the value of x? The diagram is not to scale.
- 99
- 91
- 81
- 105
A: 81

Q: Which diagram suggests a correct construction of a line parallel to given line w and passing through given point K?
A: (a choice with no text)

Q: Construct the line perpendicular to at point M.
A: (a choice with no text)

Q: Construct the line that is perpendicular to the given line through the given point.
A: (a choice with no text)

Q: What is the slope of the line shown?
A: (a choice with no text)

Q: What is the slope of the line shown?
A: (a choice with no text)

Q: What is the slope of the line shown?
A: (a choice with no text)

Q: What is the graph of y = x – 2?
A: (a choice with no text)

Q: What is the graph of ?
A: (a choice with no text)

Q: What is the graph of ?
A: (a choice with no text)

Q: Write an equation in slope-intercept form of the line through point P(6, –1) with slope 4.
- y = 4x – 1
- y = 4x – 25
- y + 1 = 4(x – 6)
- y + 6 = 4(x – 1)
A: y = 4x – 25

Q: Write an equation in point-slope form of the line through point J(4, –4) with slope 4.
A: (a choice with no text)

Q: Write an equation in slope-intercept form of the line through points S(–7,–6) and T(10,8).
- x –
- x +
- y = x +
- y = x –
A: y = x –

Q: What is an equation for the line that passes through points (4, –4) and (8, 4)?
- (y – 4) = 2(x + 4)
- (y + 4) = 2(x – 4)
- (y – 4) = –2(x + 4)
- (y + 4) = –2(x – 4)
A: (y + 4) = 2(x – 4)

Q: What is an equation in slope-intercept form for the line given?
A: (a choice with no text)

Q: Write the equation for the vertical line that contains point E(–7, 7).
- y = 7
- x = –7
- y = –7
- x = 7
A: x = –7

Q: Write the equation for the horizontal line that contains point G(3, 4).
- x = 4
- y = 4
- y = 3
- x = 3
A: y = 4

Q: Is the line through points P(3, –5) and Q(1, 4) parallel to the line through points R(–1, 1) and S(3, –3)? Explain.
- Yes; the lines have equal slopes.
- No; the lines have unequal slopes.
- No; one line has zero slope, the other has no slope.
- Yes; the lines are both vertical.
A: No; the lines have unequal slopes.

Q: Which two lines are parallel?

 | I. |
 | II. |
 | III. |
- II and III
- I and II
- I and III
- No two of the lines are parallel.
A: II and III

Q: What is the equation in point-slope form for the line parallel to y = 5x – 4 that contains P(–6, 1)?
- x – 1 = –5(y + 6)
- y + 1 = 5(x + 6)
- y – 1 = –5(x + 6)
- y – 1 = 5(x + 6)
A: y – 1 = 5(x + 6)

Q: What is the equation in point-slope form for the line parallel to y = –2x + 10 that contains J(6, 8)?
- y – 8 = –2(x – 6)
- x – 8 = 2(y – 6)
- y – 8 = 2(x – 6)
- y + 8 = –2(x – 6)
A: y – 8 = –2(x – 6)

Q: Is the line through points P(–3, –2) and Q(2, 3) perpendicular to the line through points R(10, –1) and S(15, –6)? Explain.
- No, their slopes are not opposite reciprocals.
- No; their slopes are not equal.
- Yes; their slopes have product –1.
- Yes; their slopes are equal.
A: Yes; their slopes have product –1.

Q: What must be true about the slopes of two perpendicular lines, neither of which is vertical?
- The slopes are equal.
- The slopes have product 1.
- The slopes have product –1.
- One of the slopes must be 0.
A: The slopes have product –1.

Q: What is an equation in point-slope form for the line perpendicular to y = 2x + 13 that contains (8, –4)?
- y + 4 = (x – 8)
- x + 4 = 2(y – 8)
- y + 4 = 2(x – 8)
- y + 8 = (x – 4)
A: y + 4 = (x – 8)

Q: Are the lines y = –x – 2 and 4x + 4y = 16 perpendicular? Explain.
- Yes; their slopes have product –1.
- No; their slopes are not opposite reciprocals.
- Yes; their slopes are equal.
- No; their slopes are not equal
A: No; their slopes are not opposite reciprocals.

Q: Give the slope-intercept form of the equation of the line that is perpendicular to
–7x – 8y = 12 and contains P(–3, 1).
- y – 3 = (x + 1)
- y = x
- y = x +
- y – 1 = (x + 3)
A: y = x +

Q: Plans for a bridge are drawn on a coordinate grid. One girder of the bridge lies on the line y = 9x + 3. A perpendicular brace passes through the point (–7, 3). Write an equation of the line that contains the brace.
- y – 7 = (x + 3)
- y – 3 = (x + 7)
- x – 3 = 9(y + 7)
- y – 3 = 9(x + 7)
A: y – 3 = (x + 7)