Title: parallel
Course: quiz duplicate error

Q: Refer to the figure below.
[Image]

Name all segments parallel to [Image].
- [Image] (Coplanar segments that do not intersect are parallel.)
- [Image] (Coplanar segments that do not intersect are parallel.)
- [Image] (Coplanar segments that do not intersect are parallel.)
- [Image] (Coplanar segments that do not intersect are parallel.)
A: [Image]

Q: Refer to the figure below.
[Image]

Name all segments skew to [Image].
- [Image] (Skew lines do not intersect and are not coplanar.)
- [Image] (Skew lines do not intersect and are not coplanar.)
- [Image] (Skew lines do not intersect and are not coplanar.)
- [Image] (Skew lines do not intersect and are not coplanar.)
A: [Image]

Q: In the figure, [Image], [Image]and [Image]. Find the measure of angle PRK.
[Image]
- 120 (Corresponding angles are congruent. Alternate interior angles are congruent. Consecutive interior angles are supplementary. Alternate exterior angles are congruent.)
- 60 (Corresponding angles are congruent. Alternate interior angles are congruent. Consecutive interior angles are supplementary. Alternate exterior angles are congruent.)
- 100 (Corresponding angles are congruent. Alternate interior angles are congruent. Consecutive interior angles are supplementary. Alternate exterior angles are congruent.)
- 40 (Corresponding angles are congruent. Alternate interior angles are congruent. Consecutive interior angles are supplementary. Alternate exterior angles are congruent.)
A: 120

Q: In the figure, [Image] and [Image]. Find the measure of angle WSP.
[Image]
- 85 (Corresponding angles are congruent. Alternate interior angles are congruent. Consecutive interior angles are supplementary. Alternate exterior angles are congruent.)
- 75 (Corresponding angles are congruent. Alternate interior angles are congruent. Consecutive interior angles are supplementary. Alternate exterior angles are congruent.)
- 95 (Corresponding angles are congruent. Alternate interior angles are congruent. Consecutive interior angles are supplementary. Alternate exterior angles are congruent.)
- 65 (Corresponding angles are congruent. Alternate interior angles are congruent. Consecutive interior angles are supplementary. Alternate exterior angles are congruent.)
A: 85

Q: In the figure, [Image]. Find x and y.
[Image]
- [Image] (Corresponding angles are congruent. Alternate interior angles are congruent. Consecutive interior angles are supplementary. Alternate exterior angles are congruent.)
- [Image] (Corresponding angles are congruent. Alternate interior angles are congruent. Consecutive interior angles are supplementary. Alternate exterior angles are congruent.)
- [Image] (Corresponding angles are congruent. Alternate interior angles are congruent. Consecutive interior angles are supplementary. Alternate exterior angles are congruent.)
- [Image] (Corresponding angles are congruent. Alternate interior angles are congruent. Consecutive interior angles are supplementary. Alternate exterior angles are congruent.)
A: [Image]

Q: In the figure, [Image]. Find [Image].
[Image]
- [Image] (Extend v to intersect with p. This creates a linear pair at point S with angles measuring [Image]° (given) and 61°. The angles formed by the intersection of v and p (also linear pairs) measure [Image]° (corresponding angles) and 55° with the latter being one of the interior angles of the triangle formed by t, p and v. Since the sum of the angles of a triangle is 180°, the angle that is vertical to <1 is 64°, thus making <1 64° as well.)
- [Image] (Extend v to intersect with p. This creates a linear pair at point S with angles measuring [Image]° (given) and 61°. The angles formed by the intersection of v and p (also linear pairs) measure [Image]° (corresponding angles) and 55° with the latter being one of the interior angles of the triangle formed by t, p and v. Since the sum of the angles of a triangle is 180°, the angle that is vertical to <1 is 64°, thus making <1 64° as well.)
- [Image] (Extend v to intersect with p. This creates a linear pair at point S with angles measuring [Image]° (given) and 61°. The angles formed by the intersection of v and p (also linear pairs) measure [Image]° (corresponding angles) and 55° with the latter being one of the interior angles of the triangle formed by t, p and v. Since the sum of the angles of a triangle is 180°, the angle that is vertical to <1 is 64°, thus making <1 64° as well.)
- [Image] (Extend v to intersect with p. This creates a linear pair at point S with angles measuring [Image]° (given) and 61°. The angles formed by the intersection of v and p (also linear pairs) measure [Image]° (corresponding angles) and 55° with the latter being one of the interior angles of the triangle formed by t, p and v. Since the sum of the angles of a triangle is 180°, the angle that is vertical to <1 is 64°, thus making <1 64° as well.)
A: [Image]

Q: Determine whether [Image] and [Image] are parallel, perpendicular, or neither.

[Image]
- parallel (The formula for slope is [Image]. If the slopes are the same they are parallel. If the product of the two slopes is –1, they are perpendicular.)
- perpendicular (The formula for slope is [Image]. If the slopes are the same they are parallel. If the product of the two slopes is –1, they are perpendicular.)
- neither (The formula for slope is [Image]. If the slopes are the same they are parallel. If the product of the two slopes is –1, they are perpendicular.)
A: neither

Q: Determine whether [Image] and [Image] are parallel, perpendicular, or neither.

[Image]
- perpendicular (The formula for slope is [Image]. If the slopes are the same they are parallel. If the product of the two slopes is –1, they are perpendicular.)
- parallel (The formula for slope is [Image]. If the slopes are the same they are parallel. If the product of the two slopes is –1, they are perpendicular.)
- neither (The formula for slope is [Image]. If the slopes are the same they are parallel. If the product of the two slopes is –1, they are perpendicular.)
A: neither

Q: Given the following information, determine which lines, if any, are parallel. State the postulate or theorem that justifies your answer.

[Image]
[Image]
- [Image]; congruent corresponding angles (Postulates and theorems: If corresponding angles are congruent, then lines are parallel. If given a line and a point not on the line, then there exists exactly one line through the point that is parallel to the given line. If alternate exterior angles are congruent, then lines are parallel. If consecutive interior angles are supplementary, then lines are parallel. If alternate interior angles are congruent, then lines are parallel. If 2 lines are perpendicular to the same line, then lines are parallel.)
- [Image]; congruent corresponding angles (Postulates and theorems: If corresponding angles are congruent, then lines are parallel. If given a line and a point not on the line, then there exists exactly one line through the point that is parallel to the given line. If alternate exterior angles are congruent, then lines are parallel. If consecutive interior angles are supplementary, then lines are parallel. If alternate interior angles are congruent, then lines are parallel. If 2 lines are perpendicular to the same line, then lines are parallel.)
- [Image]; congruent alternate interior angles (Postulates and theorems: If corresponding angles are congruent, then lines are parallel. If given a line and a point not on the line, then there exists exactly one line through the point that is parallel to the given line. If alternate exterior angles are congruent, then lines are parallel. If consecutive interior angles are supplementary, then lines are parallel. If alternate interior angles are congruent, then lines are parallel. If 2 lines are perpendicular to the same line, then lines are parallel.)
- [Image]; congruent alternate interior angles (Postulates and theorems: If corresponding angles are congruent, then lines are parallel. If given a line and a point not on the line, then there exists exactly one line through the point that is parallel to the given line. If alternate exterior angles are congruent, then lines are parallel. If consecutive interior angles are supplementary, then lines are parallel. If alternate interior angles are congruent, then lines are parallel. If 2 lines are perpendicular to the same line, then lines are parallel.)
A: [Image]; congruent alternate interior angles

Q: Given the following information, determine which lines, if any, are parallel. State the postulate or theorem that justifies your answer.

[Image]
[Image]
- [Image]; congruent corresponding angles (Postulates and theorems: If corresponding angles are congruent, then lines are parallel. If given a line and a point not on the line, then there exists exactly one line through the point that is parallel to the given line. If alternate exterior angles are congruent, then lines are parallel. If consecutive interior angles are supplementary, then lines are parallel. If alternate interior angles are congruent, then lines are parallel. If 2 lines are perpendicular to the same line, then lines are parallel.)
- [Image]; congruent corresponding angles (Postulates and theorems: If corresponding angles are congruent, then lines are parallel. If given a line and a point not on the line, then there exists exactly one line through the point that is parallel to the given line. If alternate exterior angles are congruent, then lines are parallel. If consecutive interior angles are supplementary, then lines are parallel. If alternate interior angles are congruent, then lines are parallel. If 2 lines are perpendicular to the same line, then lines are parallel.)
- [Image]; congruent alternate exterior angles (Postulates and theorems: If corresponding angles are congruent, then lines are parallel. If given a line and a point not on the line, then there exists exactly one line through the point that is parallel to the given line. If alternate exterior angles are congruent, then lines are parallel. If consecutive interior angles are supplementary, then lines are parallel. If alternate interior angles are congruent, then lines are parallel. If 2 lines are perpendicular to the same line, then lines are parallel.)
- [Image]; congruent alternate exterior angles (Postulates and theorems: If corresponding angles are congruent, then lines are parallel. If given a line and a point not on the line, then there exists exactly one line through the point that is parallel to the given line. If alternate exterior angles are congruent, then lines are parallel. If consecutive interior angles are supplementary, then lines are parallel. If alternate interior angles are congruent, then lines are parallel. If 2 lines are perpendicular to the same line, then lines are parallel.)
A: [Image]; congruent alternate exterior angles

Q: Find the distance between the pair of parallel lines.

[Image]
- [Image] (The slope of a line perpendicular to each has the negative reciprocal to the equation of one of the lines. The perpendicular line containing the y-intercept would be [Image]. You need to find a common point for the two lines so set the equations equal to each other. [Image] Use the Distance Formula from that common point to the y-intercept of the first line: [Image])
- [Image] (The slope of a line perpendicular to each has the negative reciprocal to the equation of one of the lines. The perpendicular line containing the y-intercept would be [Image]. You need to find a common point for the two lines so set the equations equal to each other. [Image] Use the Distance Formula from that common point to the y-intercept of the first line: [Image])
- [Image] (The slope of a line perpendicular to each has the negative reciprocal to the equation of one of the lines. The perpendicular line containing the y-intercept would be [Image]. You need to find a common point for the two lines so set the equations equal to each other. [Image] Use the Distance Formula from that common point to the y-intercept of the first line: [Image])
- [Image] (The slope of a line perpendicular to each has the negative reciprocal to the equation of one of the lines. The perpendicular line containing the y-intercept would be [Image]. You need to find a common point for the two lines so set the equations equal to each other. [Image] Use the Distance Formula from that common point to the y-intercept of the first line: [Image])
A: [Image]