supershannon103
Answered

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A teacher states that line
M
R
is perpendicular to line
X
Y
. Which statement best describes the lines?


The lines always remain the same distance from each other.
The lines always remain the same distance from each other.

The lines intersect at a
90
°
90
°
angle.
The lines intersect at a 90 ° angle.

The lines never intersect.
The lines never intersect.

The lines share a common endpoint.
The lines share a common endpoint.

Sagot :

semsee45

Answer:

The lines intersect at 90°

Step-by-step explanation:

If two lines are perpendicular, they intersect to form right angles.

Right angle = 90°

Line is different from line segment or a ray. The given lines MR and XY are best described by: Option A: The lines intersect at a 90° angle.

To get to know about intersection of MR and XY, we need to know what a line is.

What is line, line segment and a ray?

  • A line usually refers to infinite lenghted straight line in the Euclidean space.
  • A line segment is a segment (of finite length) of a line.
  • A ray is has fixed on endpoint, but it extends infinitely from the other endpoint, so no other endpoint at all.

When does two lines intersect?

If they are not parallel (having 0 degree angle between each other) and not coincident (not lying over each other), then those two lines always intersect.

Since the considered lines MR and XY are said to be perpendicular (having 90° angle between them, thus, they will intersect each other).

Therefore, the given lines MR and XY are best described by: Option A: The lines intersect at a 90° angle.

Learn more about angle between two lines here:

https://brainly.com/question/24329241

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