Two coplanar lines that are perpendicular to the same line are always parallel.
Further explanation:
Given:
The two lines are coplanar and perpendicular to the same line.
The options are as follows,
(A). Always
(B). Sometimes
(C). Never
Explanation:
If the two lines lie in the same plane than the lines are said to be coplanar
If the distance between the two lines remains the same then the lines are said to be parallel.
Hence, two coplanar lines that are perpendicular to the same line are always parallel.
Option (A) is correct as the two coplanar lines that are perpendicular to the same line are parallel.
Option (B) is not correct as the two coplanar lines that are perpendicular to the same line are parallel.
Option (C) is not correct as the two coplanar lines that are perpendicular to the same line are parallel.
Kindly refer to the image attached.
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Trigonometry
Keywords: Coplanar, Plane, XY plane, lines, perpendicular, parallel, always, sometimes, never, Two coplanar lines, perpendicular lines.