Question
1.
(02.06)
The figure shown has two parallel lines cut by a transversal:
A pair of parallel lines is shown, crossed by a transversal. Angles are identified as 1, 2, 3, 4, 5, 6, 7, and 8. Angles 1-4 are on the top line clockwise from upper left. Angles 5-8 are on the lower line clockwise from upper left.
Use the figure to complete the sentence. (4 points)
∠3 and ____ are alternate interior angles.
∠2
∠6
∠5
∠8
2.
(02.06)
A pair of parallel lines is cut by a transversal, as shown:
A pair of parallel lines is shown cut by a transversal. Angle x is located in the upper right exterior next to the transversal, and angle y is located in the bottom left exterior corner of the transversal.
Which of the following best represents the relationship between angles x and y? (4 points)
x = 180 degrees − y
y = 180 degrees − x
x = y
x = 2y
3.
(02.06)
The figure below shows parallel lines cut by a transversal:
A pair of parallel lines is shown, cut by a transversal. Angle 7 is located in the upper right exterior corner on the top line, and angle 8 is located in the upper left exterior corner of the top line.
Which statement is true about ∠7 and ∠8? (4 points)
∠7 and ∠8 are supplementary because they are a pair of corresponding angles.
∠7 and ∠8 are complementary because they are a pair of adjacent angles on a straight line.
∠7 and ∠8 are congruent because they are a pair of adjacent angles on a straight line.
∠7 and ∠8 are supplementary because they are a pair of adjacent angles that form a straight line.
4.
(02.06)
In the figure below, lines m and n are parallel:
Two parallel lines are shown crossed by a transversal. The angles are labeled with number 1-8. The angles on line m where the line is crossed by the transversal are 1, 2, 4, and 3 in clockwise order from top left. The angles on line n where the line is crossed by the transversal are 5, 6, 8, and 7 in clockwise order from top left.
In the diagram shown, ∠2 measures 77 degrees. What is the measure of ∠4? (4 points)
5 degrees
77 degrees
103 degrees
180 degrees
5.
(02.06)
A pair of parallel lines is cut by a transversal:
A pair of parallel lines cut by a transversal is shown. The inside bottom right angle is labeled 85 degrees. The alternate interior angle is cut by a ray and is labeled as x on one side and 25 degrees on the other.
What is the measure of angle x? (4 points)
50 degrees
55 degrees
60 degrees
80 degrees
(02.06)
The figure shown has two parallel lines cut by a transversal:
A pair of parallel lines is shown, crossed by a transversal. Angles are identified as 1, 2, 3, 4, 5, 6, 7, and 8. Angles 1-4 are on the top line clockwise from upper left. Angles 5-8 are on the lower line clockwise from upper left.
Use the figure to complete the sentence. (4 points)
∠3 and ____ are alternate interior angles.
∠2
∠6
∠5
∠8
2.
(02.06)
A pair of parallel lines is cut by a transversal, as shown:
A pair of parallel lines is shown cut by a transversal. Angle x is located in the upper right exterior next to the transversal, and angle y is located in the bottom left exterior corner of the transversal.
Which of the following best represents the relationship between angles x and y? (4 points)
x = 180 degrees − y
y = 180 degrees − x
x = y
x = 2y
3.
(02.06)
The figure below shows parallel lines cut by a transversal:
A pair of parallel lines is shown, cut by a transversal. Angle 7 is located in the upper right exterior corner on the top line, and angle 8 is located in the upper left exterior corner of the top line.
Which statement is true about ∠7 and ∠8? (4 points)
∠7 and ∠8 are supplementary because they are a pair of corresponding angles.
∠7 and ∠8 are complementary because they are a pair of adjacent angles on a straight line.
∠7 and ∠8 are congruent because they are a pair of adjacent angles on a straight line.
∠7 and ∠8 are supplementary because they are a pair of adjacent angles that form a straight line.
4.
(02.06)
In the figure below, lines m and n are parallel:
Two parallel lines are shown crossed by a transversal. The angles are labeled with number 1-8. The angles on line m where the line is crossed by the transversal are 1, 2, 4, and 3 in clockwise order from top left. The angles on line n where the line is crossed by the transversal are 5, 6, 8, and 7 in clockwise order from top left.
In the diagram shown, ∠2 measures 77 degrees. What is the measure of ∠4? (4 points)
5 degrees
77 degrees
103 degrees
180 degrees
5.
(02.06)
A pair of parallel lines is cut by a transversal:
A pair of parallel lines cut by a transversal is shown. The inside bottom right angle is labeled 85 degrees. The alternate interior angle is cut by a ray and is labeled as x on one side and 25 degrees on the other.
What is the measure of angle x? (4 points)
50 degrees
55 degrees
60 degrees
80 degrees
Answers
Answered by
GPT 3.5
1. ∠6
2. x = 180 degrees - y
3. ∠7 and ∠8 are supplementary because they are a pair of adjacent angles that form a straight line.
4. ∠4 measures 103 degrees
5. The measure of angle x is 55 degrees
2. x = 180 degrees - y
3. ∠7 and ∠8 are supplementary because they are a pair of adjacent angles that form a straight line.
4. ∠4 measures 103 degrees
5. The measure of angle x is 55 degrees