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What postulate or theorem guarantees that there is only one line that can be constructed perpendicular to a given line from a given point not on the line?
It's the theorem that says " One and only one perpendicular can be drawn from a point to a line. "
The number of lines that can be drawn perpendicular to a given line at a given point on that line in a plane is?
Only one line can be drawn perpendicular to a given line at a specific point on that line in a plane. This is based on the definition of perpendicular lines, which intersect at a right angle (90 degrees). The uniqueness of this perpendicular line arises from the geometric properties of Euclidean space.
Do Through a point not on a line one and only one line always can be drawn parallel to the given line?
True
What is perpendicular to y equals 3x plus 8?
3y + x = k where k is some constant which can only be determined if a point on it is known. There is no such point given.
How many points do perpendicular lines share?
Perpendicular lines will only share one point: the point of intersection, where the two lines meet.
What postulate or theorem guarantees that there is only one line that can be constructed perpendicular to a given line from a given point not on the line?
It's the theorem that says " One and only one perpendicular can be drawn from a point to a line. "
How many planes can be perpendicular to a given line at a given point?
Only one
In space how many planes can be perpendicular to a given line at a given point?
only 1
How many perpendicular can we draw to a line from a given point outside the line?
In a Euclidean plane, only one.
What is needed to determine a line?
Two points determine a line. Also there is one and only line perpendicular to given line through a given point on the line,. and There is one and only line parallel to given line through a given point not on the line.
State the Perpendicular Bisector Theorem and its converse as a biconditional?
Biconditional Statement for: Perpendicular Bisector Theorem: A point is equidistant if and only if the point is on the perpendicular bisector of a segment. Converse of the Perpendicular Bisector Theorem: A point is on the perpendicular bisector of the segment if and only if the point is equidistant from the endpoints of a segment.
Do Through a point not on a line one and only one line always can be drawn parallel to the given line?
True
What is perpendicular to y equals 3x plus 8?
3y + x = k where k is some constant which can only be determined if a point on it is known. There is no such point given.
How many points do perpendicular lines share?
Perpendicular lines will only share one point: the point of intersection, where the two lines meet.
Is it possible to construct an infinite number of lines that are perpendicular to any given line?
Yes, but only in principle. In practice, you won't live long enough. Putting it in more positive terms: No matter how many lines have already been drawn perpendicular to a given line [segment], there's always enough room for a lot more of them.
Do perpendicular lines intersect in at least two points?
Perpendicular lines intersect at one point only.
How many circles can pass through two given points?
Two points determine a unique line. Therefore, there are infinitely many circles that can pass through two given points. This is because a circle can be defined by its center, which can lie anywhere along the perpendicular bisector of the line segment connecting the two points.
