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Through a given point how many lines can be drawn perpendicular to a given plane?
Through a given point, an infinite number of lines can be drawn perpendicular to a given plane. Since any line that extends from the point to the plane at a right angle can be considered perpendicular, and this can occur at various angles around the point, there are no restrictions on the direction of these lines as long as they maintain the perpendicular relationship. Hence, the answer is infinite lines.
What is the shortest path between a line and a point not on that line?
The shortest path is a line perpendicular to the given line that passes through the given point.
What is the shortest segment from any given point to a line is the what segment?
A perpendicular to the line which passes through the given point.
Why does a line segment have one midpoint and can have many bisectors?
A bisector is a line (or line segment) which passes through the midpoint. You can have multiple lines intersect at this one point, and all of them will bisect the original line segment, since they pass through its midpoint. A perpendicular bisector passes through the midpoint, and also is perpendicular to the original line segment, so there will be only one of those.
How many points do perpendicular lines share?
Perpendicular lines will only share one point: the point of intersection, where the two lines meet.
Through a given point how many lines can be drawn perpendicular to a given plane?
Through a given point, an infinite number of lines can be drawn perpendicular to a given plane. Since any line that extends from the point to the plane at a right angle can be considered perpendicular, and this can occur at various angles around the point, there are no restrictions on the direction of these lines as long as they maintain the perpendicular relationship. Hence, the answer is infinite lines.
What is the shortest path between a line and a point not on that line?
The shortest path is a line perpendicular to the given line that passes through the given point.
What is the shortest segment from any given point to a line is the what segment?
A perpendicular to the line which passes through the given point.
Why does a line segment have one midpoint and can have many bisectors?
A bisector is a line (or line segment) which passes through the midpoint. You can have multiple lines intersect at this one point, and all of them will bisect the original line segment, since they pass through its midpoint. A perpendicular bisector passes through the midpoint, and also is perpendicular to the original line segment, so there will be only one of those.
Lines that form right angles at the point of intersection?
These are called perpendicular lines.
What is the equation of a line that is perpendicular to and passes through the point (4 6)?
That would depend on its slope which has not been given.
What is a characteristic of a perpendicular bisector?
Given a straight line joining the points A and B, the perpendicular bisector is a straight line that passes through the mid-point of AB and is perpendicular to AB.
Lines that form right angles at the point of intersection are what?
When two lines intersect at a right angle, they are "perpendicular"
How many points do perpendicular lines share?
Perpendicular lines will only share one point: the point of intersection, where the two lines meet.
How many perpendicular lines does a five point star have?
A Star has 0 perpendicular lines!
If Point p is on line m then how many plane are perpendicular to line m and also passes through point p?
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How many lines can be drawn perpendicular to a given plane?
Through a given plane, an infinite number of lines can be drawn perpendicular to it. For any point on the plane, there exists exactly one line that is perpendicular to the plane at that point. However, since there are infinitely many points on the plane, this leads to an infinite number of perpendicular lines overall.
