Quiz : How Much Do You Know About Parallel Lines And Transversals?

1.

Which of the following angle pairs are congruent because parallel lines are cut by a transversal?
- A.
  
  Corresponding
- B.
  
  Alternate interior
- C.
  
  Alternate exterior
- D.
  
  None of the above
Correct Answer(s)
A. Corresponding
B. Alternate interior
C. Alternate exterior

Explanation
The angle pairs that are congruent because parallel lines are cut by a transversal are corresponding angles, alternate interior angles, and alternate exterior angles. Corresponding angles are formed when a transversal intersects two parallel lines and are located in the same position on each line. Alternate interior angles are formed when a transversal intersects two parallel lines and are located between the two lines on opposite sides of the transversal. Alternate exterior angles are formed when a transversal intersects two parallel lines and are located outside the two lines on opposite sides of the transversal. Therefore, the correct answer is corresponding, alternate interior, and alternate exterior angles.

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0
2.

What is the relationship between angles a and b?
- A.
  
  Vertical
- B.
  
  Alternate
- C.
  
  Corresponding
- D.
  
  Exterior
Correct Answer
A. Vertical

Explanation
Vertical angles are formed when two lines intersect. They are opposite each other and have equal measures. In this case, angles a and b are vertical angles because they are opposite each other and have the same measure.

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12
2
3.

What type of angles a and c are?
- A.
  
  Alternate exterior
- B.
  
  Corresponding
- C.
  
  Vertical
- D.
  
  Same-side exterior
Correct Answer
B. Corresponding

Explanation
Angles a and c are corresponding angles. Corresponding angles are formed when a transversal intersects two parallel lines. In this case, angle a and angle c are on the same side of the transversal and are in corresponding positions relative to the parallel lines. Corresponding angles have the same degree measure and are equal to each other.

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7
4
4.

What is the relationship between angle b and c?
- A.
  
  Corresponding
- B.
  
  Parallel
- C.
  
  Vertical
- D.
  
  Same-side interior
Correct Answer
D. Same-side interior

Explanation
Angle b and angle c are same-side interior angles. Same-side interior angles are a pair of angles that are on the same side of the transversal line and are inside the two parallel lines. In this case, angle b and angle c are both inside the two parallel lines and on the same side of the transversal line. Therefore, they are same-side interior angles.

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4
2
5.

What is the relationship between the angles b and g?
- A.
  
  Corresponding
- B.
  
  Alternate exterior
- C.
  
  Alternate interior
- D.
  
  Same-side interior
Correct Answer
C. Alternate interior

Explanation
Alternate interior angles are formed when a transversal intersects two parallel lines. In this case, the angles b and g are alternate interior angles because they are on opposite sides of the transversal and inside the two parallel lines.

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4
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6.

Write the degree of angle a in the box below.

Correct Answer
63, 63 degrees, sixty-three, sixty three

Explanation
The given answer options all represent the same value, which is 63 degrees. The different formats, such as numerical (63), written out (sixty-three), and with the word "degrees" included, are all valid ways to express the measure of the angle.

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8
4 1
7.

Write the degree for angle a in the box below.

Correct Answer
70, 70 degrees, seventy

Explanation
The answer provided is 70, 70 degrees, seventy. This suggests that the degree for angle a is 70. The three different ways of expressing the degree value (as a numeral, in words, and with the word "degrees") further confirm that the degree for angle a is indeed 70.

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4
4 3
8.

Write the degree for angle h in the box below.

Correct Answer
110, 110 degrees, one hundred ten, one hundred and ten

Explanation
The given answer options all represent the same value, which is 110 degrees. It is written in numerical form (110), in words (one hundred ten), and in words with the "and" conjunction (one hundred and ten). Therefore, all of these options are correct representations of the degree for angle h.

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3
4 1
9.

Find the value of x and type it in the box below.

Correct Answer
35/4
8.75
8.8

Explanation
The given answer includes three values: 35/4, 8.75, and 8.8. These values are all possible values for the variable x. They are all different ways to represent the same number.

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3
4 9
10.

Write the value of angle in the box below.

Correct Answer
55
55 degrees
fifty-five
fifty five

Explanation
The given answer options all represent the value of the angle as 55 degrees. The first option is the numerical representation of the angle, the second option is the written form of 55 degrees, and the last two options are alternative ways of expressing the numerical value as words. Therefore, all the answer options indicate that the value of the angle is 55 degrees.

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0
4 5
11.

Write the value of x in the box below.

Correct Answer
40
forty

Explanation
The correct answer is 40,forty because the question asks for the value of x, and both 40 and forty are given as options. Therefore, x could be either 40 or forty.

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Quiz : How Much Do You Know About Parallel Lines And Transversals?

Which of the following angle pairs are congruent because parallel lines are cut by a transversal?

What is the relationship between angles a and b?

What type of angles a and c are?

What is the relationship between angle b and c?

What is the relationship between the angles b and g?

Write the degree of angle a in the box below.

Write the degree for angle a in the box below.

Write the degree for angle h in the box below.

Find the value of x and type it in the box below.

Write the value of angle in the box below.

Write the value of x in the box below.