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Will perpendicular bisectors that originate at the base of isosceles triangles pass through the vertex of the triangle?
Yes.
Are the angle bisectors of a regular polygon sometimes concurrent?
The angle bisectors of a regular polygon are always concurrent. And the point that they meet at is also the meeting point of the perpendicular bisectors of the sides. If it is a polygon with an odd nmber of sides, the "medians" [line from vertex to mid-point of opposite side] and "altitudes" [perpendicular from vertex to opposite side] will also meet at the same point.
How many perpendicular bisectors does an equilateral triangle have?
Equilateral triangles have 3 perpendicular bisectors
Does a perpendicular bisector of a triangle always passes through the opposite vertex?
No, the perpendicular bisector of a side of a triangle does not necessarily pass through the opposite vertex. The perpendicular bisector is a line that is perpendicular to a segment at its midpoint, and it may intersect the interior or exterior of the triangle, depending on its shape. In fact, the only time a perpendicular bisector passes through the opposite vertex is in the case of an isosceles triangle, where the two sides are equal, and their perpendicular bisectors coincide with the altitude.
The diagonals of a rhombus are perpendicular bisectors of one another?
True, the diagonals of a rhombus are perpendicular bisectors of one another.
Does perpendicular bisector has a vertex as an endpoint?
No
A perpendicular segment with one endpoint at a vertex and the other endpoint on the side opposite that vertex?
Altitude: The altitude of a triangle is a perpendicular segment that connects a vertex and its opposite side. Let's construct the altitude of a triangle using a new triangle.
Will perpendicular bisectors that originate at the base of isosceles triangles pass through the vertex of the triangle?
Yes.
Are the angle bisectors of a regular polygon sometimes concurrent?
The angle bisectors of a regular polygon are always concurrent. And the point that they meet at is also the meeting point of the perpendicular bisectors of the sides. If it is a polygon with an odd nmber of sides, the "medians" [line from vertex to mid-point of opposite side] and "altitudes" [perpendicular from vertex to opposite side] will also meet at the same point.
How many perpendicular bisectors does an equilateral triangle have?
Equilateral triangles have 3 perpendicular bisectors
Does a perpendicular bisector of a triangle always passes through the opposite vertex?
No, the perpendicular bisector of a side of a triangle does not necessarily pass through the opposite vertex. The perpendicular bisector is a line that is perpendicular to a segment at its midpoint, and it may intersect the interior or exterior of the triangle, depending on its shape. In fact, the only time a perpendicular bisector passes through the opposite vertex is in the case of an isosceles triangle, where the two sides are equal, and their perpendicular bisectors coincide with the altitude.
Are diagonals on a parallelogram perpendicular bisectors?
No, they are just bisectors. The angle between them is not (usually) the 90o required to be perpendicular.
What is the common endpoint of an angle?
The vertex
The diagonals of a rhombus are perpendicular bisectors of one another?
True, the diagonals of a rhombus are perpendicular bisectors of one another.
What quadrilateral does not have perpendicular bisectors?
rectangle
Do rectangles have perpendicular bisectors?
nope
The perpendicular bisectors of a triangle all pass through what point?
all three perpendicular bisectors elongate to meet at the incenter of the triangle.
