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How many medians altitudes angle bisectors and perpendicular bisectors does a triangle have?
medians-3 altitudes-3
How many circles can pass through two given points?
It takes 3 non collinear points to define one specific circle. With only two points an infinite number of circles can be drawn. Proof: Given two points A, B draw the line between them. Then find the perpendicular bisector of the line AB. Any point on the perpendicular bisector is equidistant from the two original points, A and B. A circle with center C and radius AC will then pass through points A and B. There are infinite point C's on the perpendicular bisector so there are infinite circles. Given three points A, B and D you can find the perpendicular bisector for line segements AB and then the perpendicular bisector fof line segment BC. The two perpedicular bisectors will not be parallel because the points A, B and D are non collinear. This means the two perpeniducar bisectors will intercept at only one point C(like any two intercepting lines). This point C is equidistant from points A, B, and D. A circle with center C and radius AC will then pass through all three of the points. Since there is only one point C that lies on both perpendicular bisectors, there is only one circle possible.
How many endpoints does a line segment have?
A line segment has exactly two endpoints. If it had less, then it would just be a point. If it was more, then it wouldn't be a segment anymore.
Find the equation of a straight line perpendicular to the line 4y-3x12?
There are infinitely many lines perpendicular to this line. All of them have the slope of -4/3, if that fact is of any help to you.
How many sets of perpendicular lines does a octagon have?
Each of the eight line segments is perpendicular to 2 line segments. So there are 8 pair in all.
How many perpendicular bisectors can be constructed for a line segment?
Exactly one. No more, no less.
How many perpindicuar bisectors can a line segment have?
Since there is no such word as "perpindicuar", it is difficult to be sure. A line segment can have only one perpendicular bisector.
Every segment has how many perpendicular bisectors?
2
How many lines in a plane could be perpendicular bisectors of a segment?
In a plane, there are infinitely many lines that can serve as perpendicular bisectors of a given segment. The unique perpendicular bisector of a segment is a specific line that divides the segment into two equal parts at a right angle. However, any line parallel to this unique bisector, at any distance, can also be considered a perpendicular bisector if it intersects the segment at its midpoint. Thus, while the unique perpendicular bisector exists, an infinite number of lines can be drawn parallel to it.
How many lines are therein a space that are perpendicular bisectors of a given segment?
one
How many bisectors can a line segment have?
1
How many bisectors could a segment have?
A segment has exactly one bisector. This bisector is a line (or line segment) that divides the original segment into two equal parts and is perpendicular to it. No matter the length of the segment, the unique bisector will always pass through the midpoint of the segment.
Why a line segment has only one midpoint but can have many bisectors?
All bisectors intersect the line segment at the midpoint. There can be multiple bisectors, intersecting at the midpoint at different angles, but they all intersect the line segment at its midpoint. The midpoint separates the line segment into two equal halves.
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 perpendicular bisectors does an equilateral triangle have?
Equilateral triangles have 3 perpendicular bisectors
How can you get geometry answer key?
Explain why a line segment can have one midpoint but many bisectors
Does a line segment have many bisectors?
no-- It only has one. Since it is a segment, it has a definite start and end, so it has only one middle (the bisector).
