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What does the perpindicular bisector of a triangle do at a single point?
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∙ 12y ago
Forms a 90 degree angle
Wiki User
∙ 12y ago
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What does it mean for a point to be on the perpindicular bisector of a segment?
One thing it means is that the two distances from the point to the ends of the segment are equal.
Does the angle bisector of a scalene triangle intersect at a single point?
No, the angle bisector of a scalene triangle actually intersects at two points, the point between the two points and the vertex formed by two lines of a scalene triangle. * * * * * On an alternative interpretation of the question, the three angle bisectors of any triangle always intersect at a point which is called the incentre.
Does the angle bisector of a triangle intersect at a point of the exterior?
Never
Which type of construction is used to construct a triangle's point of balance?
Segment bisector
Is the orthocenter the point shared by the angle bisectors of a triangle?
Sometimes. If the triangle is an equilateral triangle, then yes. If the triangle has two sides of equal length, then the bisector passing through the point connecting the two sides of equal length will share the orthocenter. If all three sides have different lengths, then none of the bisectors of a triangle will share (pass through) the orthcenter.The definition of the orthocenter is:The point where the three altitudes of a triangle intersect. (An altitude is the linefrom a vertex drawn perpendicular to the opposite side.) So an angle bisectordoesn't pass through the orthocenter unless the angle bisector happens tocoincide with the altitude, and that only happens when the triangle is eitherisosceles or equilateral.
Is the angle bisector of a scalene triangle ever intersect at a single point?
never
What does it mean for a point to be on the perpindicular bisector of a segment?
One thing it means is that the two distances from the point to the ends of the segment are equal.
Does the angle bisector of a scalene triangle intersect at a single point?
No, the angle bisector of a scalene triangle actually intersects at two points, the point between the two points and the vertex formed by two lines of a scalene triangle. * * * * * On an alternative interpretation of the question, the three angle bisectors of any triangle always intersect at a point which is called the incentre.
The orthocenter is the point shared by the angle bisector of a triangle?
Actually, the orthocenter of a triangle is the point where the three altitudes of the triangle intersect. The altitudes are perpendicular lines drawn from each vertex to the opposite side. The angle bisectors of a triangle intersect at the incenter, not the orthocenter.
Does the angle bisector of a triangle intersect at a point of the exterior?
Never
What is the angle bisector concurrency theorem?
the definition of an angle bisector is a line that divides an angle into two equal halves. So you need only invoke the definition to prove something is an angle bisector if you already know that the two angles are congruent.
In any triangle the point where the angle bisector meet is called?
Incenter ~
Which type of construction is used to construct a triangle point of balance?
segment bisector
Which type of construction is used to construct a triangle's point of balance?
Segment bisector
How do you draw a bisector of a triangle?
Find the midpoint of a side and join it to the vertex opposite. That is a median and it divides the mass of a triangle in two halves. Each triangle has three medians. However, there is no reason for a bisector to go through a vertex - it can be a straight line through any point in the triangle. In such a case drawing the bisector analytically is likely to be beyond the skills of most geometry students. There is, though, a very simple practical solution. Cut out a copy of the triangle on a uniform lamina. Suspend it vertically by a pin through the required point. Then the vertical line through that point (use a plumb line) is the bisector of the triangle through that point.
Is the orthocenter the point shared by the angle bisector of a triangle?
Objection! False! Nooo! :P ~
The point of concurrency of the medians of a triangle?
the centroid. here are all the points of concurrency: perpendicular bisector- circumcenter altitudes- orthocenter angle bisector- incenter median- centroid hope that was helpful :)
