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Which term describes the point where the perpendicular bisector of the three sides of a triangle intersect?
It is the circumcentre, the unique point from which you can draw a circle (the circumscribed circle) which passes through all three vertices.
What else can I help you with?
Can the angle bisector of a triangle also be the perpendicular bisector?
Yes. The bisector of one angle of a triangle is the perpendicular bisector of theopposite side if the bisected angle is the vertex angle of an isosceles triangle,or any angle of an equilateral triangle.
Is the angle bisector of a scalene triangle ever intersect at a single point?
never
What does a perpendicular bisector cut of a triangle into two congruent parts?
side
Which types of triangles must always have at least one angle bisector that is also a perpendicular bisector?
iscoceles triangle! =)
Is this True or false the angle bisector of the vertex angle of an isosceles triangle is also the perpendicular bisector of the base?
True
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 three perpendicular bisector of a triangle intersect at a point in the exterior of the triangle true or false?
The three ANGLE bisectors of a triangle also bisect the sides, and intersect at a point INSIDE the triangle. The angle bisectors are not necessarily perpendicular to them. The perpendicular bisectors of the sides can intersect in a point either inside or outside the triangle, depending on the shape of the triangle.
Which best describes the circumcenter of a triangle?
The point where the perpendicular bisectors of the three sides of the triangle intersect
Can the angle bisector of a triangle also be the perpendicular bisector?
Yes. The bisector of one angle of a triangle is the perpendicular bisector of theopposite side if the bisected angle is the vertex angle of an isosceles triangle,or any angle of an equilateral triangle.
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.
Perpendicular bisector of a triangle?
Is a line that bisects a side of a triangle and is perpendicular to that side.
How does the perpendicular bisector affect the vertex angle of an isoceles triangle?
The perpendicular bisector bisects the angle at the vertex.
Which term describes the point where the perpendicular bisectors of the three sides of a triangle intersect?
Circumcenter
Which type of triangle will always have a perpendicular bisector that is also an angle bisector?
An isosceles triangle will always have a perpendicular bisector that is also an angle bisector. In an isosceles triangle, the two sides are of equal length, and the perpendicular bisector of the base (the unequal side) also divides the vertex angle into two equal angles, thus serving as an angle bisector as well.
Will an angle bisector ever intersect outside the triangle?
No.
Do the perpendicular bisectors of a triangle always sometimes or never intersect on the triangle?
The perpendicular bisectors only intersect on the triangle when it is an isosceles right triangle.
Is a perpendicular bisector always an angle bisector?
thank goodness for my math teacher, norm! he said only in an isosceles triangle. The bisector of the vertex angle of an isosceles triangle is perpendicular to the base! =)
