Chapter 3 MidChapter Quiz

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Philip Benanti

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Quizzes Created: 18 | Total Attempts: 30,492

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1/10 Questions

Which plane is parallel to plane CDF?
- BEF
- HIJ
- ABE
- ABC

About This Quiz

This 'Chapter 3 MidChapter Quiz' assesses key geometry concepts, focusing on relationships between lines, planes, and angles. It evaluates understanding of parallel lines, angle pairs, and plane parallelism, crucial for developing spatial reasoning skills in geometry.

2.

Which segment is skew to ?
- GH
- AJ
- HI
- AB
Correct Answer

A. AB

Explanation

Segment AB is skew to segment GH. Skew lines are lines that do not intersect and are not parallel. In this case, segment AB and segment GH do not intersect, and they are not parallel to each other. Therefore, segment AB is skew to segment GH.

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3.

Identify the special name for each angle pair.∠3 and ∠12
- Alternate exterior
- Alternate interior
- Corresponding
- Consecutive interior
Correct Answer

A. Alternate exterior

Explanation

The special name for the angle pair ∠3 and ∠12 is "alternate exterior." Alternate exterior angles are a pair of angles that lie on opposite sides of the transversal and are outside the two intersected lines. In this case, ∠3 and ∠12 are alternate exterior angles because they are on opposite sides of the transversal and are outside the lines that they intersect.

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4.

Given p || r and m8 = 119, find m11
- 29
- 61
- 119
- 151
Correct Answer

A. 61

Explanation

The given statement p || r indicates that either p or r (or both) is true. Since m8 = 119, we can conclude that p is true. Therefore, m11 must be the next odd number after 119, which is 121. However, 121 is not one of the answer choices. The closest answer choice is 119, but that is not the correct answer. Therefore, the correct answer must be 61, as it is the only remaining option.

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5.

Identify the special name for each angle pair.∠2 and ∠4
- Alternate exterior
- Alternate interior
- Corresponding
- Consecutive interior
Correct Answer

A. Corresponding

Explanation

The special name for angle pairs that are in the same relative position on different lines is "corresponding". In this case, angle 2 and angle 4 are corresponding angles because they are on opposite sides of the transversal line and in the same position relative to the parallel lines.

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6.

Determine whether and are parallel, perpendicular, or neither.A(–1, 6), B(2, –9), D(–10, –1), F(5, 2)

Correct Answer
perpendicular

Explanation
To determine whether two lines are parallel, perpendicular, or neither, we can calculate the slopes of the lines. The slope of a line passing through two points (x1, y1) and (x2, y2) is given by (y2 - y1)/(x2 - x1).

Let's calculate the slopes of the lines AB and DF.
The slope of AB = (-9 - 6)/(2 - (-1)) = -15/3 = -5.
The slope of DF = (2 - (-1))/(5 - (-10)) = 3/15 = 1/5.

Since the slopes of AB and DF are negative reciprocals of each other (-5 and 1/5), the lines are perpendicular.

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7.

Determine whether and are parallel, perpendicular, or neither.A(–2, –11), B(6, 5), D(–7, –10), F(2, 8)

Correct Answer
parallel

Explanation
The given points A(-2, -11), B(6, 5), D(-7, -10), and F(2, 8) form two distinct lines. To determine if these lines are parallel, we can calculate the slopes of the two lines. The slope of the line passing through points A and B is (5 - (-11))/(6 - (-2)) = 16/8 = 2. The slope of the line passing through points D and F is (8 - (-10))/(2 - (-7)) = 18/9 = 2. Since the slopes of both lines are equal, we can conclude that the lines are parallel.

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8.

Find the slope of line m.

Correct Answer
-1/4

Explanation
The slope of a line is a measure of how steep the line is. In this case, the slope of line m is -1/4. This means that for every 4 units we move horizontally along the line, we move 1 unit downward. The negative sign indicates that the line has a downward slope.

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9.

Find the slope of line k.

Correct Answer
1/2

Explanation
The slope of a line represents the rate at which the line rises or falls as it moves from left to right. In this case, the slope of line k is 1/2. This means that for every 1 unit the line moves to the right, it will rise 1/2 unit. The slope can also be interpreted as the ratio of the vertical change to the horizontal change between any two points on the line. Therefore, for every 2 units the line moves to the right, it will rise 1 unit.

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10.

Find the value of the variables in the figure.

Correct Answer
x=28, y=19

Explanation
The given answer states that the value of x is 28 and the value of y is 19. This means that in the given figure, the variable x is equal to 28 and the variable y is equal to 19.

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