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Fittoniya [83]
3 years ago
14

Two coplanar lines that are perpendicular to the same line are parallel.

Mathematics
2 answers:
Semenov [28]3 years ago
3 0

Coplanar lines are <u>lines</u> that lie on the same <u>plane</u>.

Theorem: If two <u>coplanar lines</u> are <u>perpendicular</u> to the same  line, then the two lines are <u>parallel</u> to each other.

This theorem is true always, therefore, given statement is true always.

Answer: correct choice is A

andreyandreev [35.5K]3 years ago
3 0

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.

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

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.

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