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Yes - the altitude of an equilateral triangle is perpendicular to the side chosen as the base and bisects that side and the opposite angle.
Also, the altitude of an isosceles triangle when measured from the third side (the side that is not equal to the other two sides) is a perpendicular bisector of the base and also bisects the opposite angle.
What else can I help you with?
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.
What is a perpendicular bisector concurrency conjecture?
The Perpendicular bisector concurrency conjecture is the circumcenter
What is a perpendicular bisector of a line segment?
The perpendicular bisector of a line segment AB is the straight line perpendicular to AB through the midpoint of AB.
In the construction of a perpendicular bisector to a given line segment the perpendicular bisector passes through the vertices of two?
Equilateral triangles
What of a segment is a line segment or ray that is perpendicular to a segment at its midpoint?
Perpendicular Bisector
Is the altitude of a triangle always the perpendicular bisector?
No.
Can an altitude and a perpendicular bisector be on the same line?
Yes.
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.
Is the altitude of an isosceles triangle the angle bisector of the vertex?
Yes, provided that the base is not one of the 2 equal sides. And it's also the perpendicular bisector of the base.
Is it possible for a segment to be a perpendicular bisector angle bisector median and altitude of a triangle?
Yes. If you have an isosceles triangle standing up on the unequal side, thenthe line segment from the top vertex perpendicular to the base is all of these.
What is the difference between and angle bisector and a perpendicular bisector?
An angle bisector bisects an angle. A perpendicular bisector bisects a side.
What can not form a perpendicular bisector?
A circle cannot form a perpendicular bisector.
If a point is equidistant from the two sides of an angle then it is?
on the perpendicular bisector
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.
What is a perpendicular bisector concurrency conjecture?
The Perpendicular bisector concurrency conjecture is the circumcenter
What is not a characteristic of of a perpendicular bisector?
is parallel-apex
What shape can not form a perpendicular bisector?
A circle cannot form a perpendicular bisector.
