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In general, they are not. In an isosceles triangle, the perpendicular bisector of the base is the same as the bisector of the angle opposite the base. But the other two perp bisectors are not the same as the angle bisectors. Only in an equilateral triangle is each perp bisector the same as the angle bisector of the angle opposite.
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Which type of triangle will always have 3 angle bisectors that are also perpendicular bisectors?
equalateral
How can you find the center of a regular polygon?
You can find the intersection of the angle bisectors or the intersection of the perpendicular bisectors of each side.
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.
In ABC the angle bisectors meet at point D. Point E is on and is perpendicular to . Point F is the location where the perpendicular bisectors of the sides of the triangle meet. What is the radius of t?
The radius is DE
How many perpendicular bisectors does an equilateral triangle have?
Equilateral triangles have 3 perpendicular bisectors
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 type of triangle has 3 angle bisectors that are also perpendicular bisectors?
equilateral triangle
Which type of triangle will always have 3 angle bisectors that are also perpendicular bisectors?
equalateral
How many medians altitudes angle bisectors and perpendicular bisectors does a triangle have?
medians-3 altitudes-3
What is the point of concurrency of the perpendicular bisectors of a triangle called?
The circumcenter, the incenter is the point of concurrency of the angle bisectors of a triangle.
How can you find the center of a regular polygon?
You can find the intersection of the angle bisectors or the intersection of the perpendicular bisectors of each side.
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.
What are perpendicular bisectors of a triangle?
It is only applicable to a right angle triangle where the perpendicular lines meet at 90 degrees
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.
How can you use perpendicular and angle bisectors to form a 45 degree angle?
You draw a perpendicular at the end of a line segment. You then bisect the right angle formed between the original line and the perpendicular. The resulting angle will be 45 degrees.
In ABC the angle bisectors meet at point D. Point E is on and is perpendicular to . Point F is the location where the perpendicular bisectors of the sides of the triangle meet. What is the radius of t?
The radius is DE
What do you call to a line of symmetry of an isosceles triangle?
There is no specific name. It is one of the medians, angle bisectors and perpendicular bisectors: one set of these is coincident and is the line of symmetry.
