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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.
What intersects at the circumcenter of a triangle?
The perpendicular bisectors of the sides of a triangle intersect at its circumcentre.
What point of concurrency of the perpendicular bisectors of a triangle?
The three perpendicular bisectors (of the sides) of a triangle intersect at the circumcentre - the centre of the circle on which the three vertices of the triangle sit.
Where can the perpendicular bisectors of the side of a right triangle intersect?
Only at the midpoint of the hypotenuse.
The perpendicular bisectors of a triangle all pass through what point?
all three perpendicular bisectors elongate to meet at the incenter of the triangle.
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.
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.
What intersects at the circumcenter of a triangle?
The perpendicular bisectors of the sides of a triangle intersect at its circumcentre.
Do the 3 angle bisectors of a triangle intersect at a point in the exterior of the triangle?
No, never.
What point of concurrency of the perpendicular bisectors of a triangle?
The three perpendicular bisectors (of the sides) of a triangle intersect at the circumcentre - the centre of the circle on which the three vertices of the triangle sit.
What is the name of the point at which all of a triangle's perpendicular bisectors intersect?
circumcenter
What kind of triangle do the perpendicular bisectors intersect in a point outside the triangle?
a right triange
Which best describes the circumcenter of a triangle?
The point where the perpendicular bisectors of the three sides of the triangle intersect
Where can the perpendicular bisectors of the side of a right triangle intersect?
Only at the midpoint of the hypotenuse.
How are perpendicular lines different from a intersecting lines?
They are not. The perpendicular bisectors of a triangle, for example, intersect at the orthocentre of the triangle. So perpendicular lines can be intersecting and conversely.
Which term describes the point where the perpendicular bisectors of the sides of a triangle intersect?
The point where the perpendicular bisectors of the sides of a triangle intersect is called the circumcenter. This point is equidistant from all three vertices of the triangle and serves as the center of the circumcircle, which is the circle that passes through all the vertices of the triangle.
Will the perpendicular bisectors of a right triangle always intersect?
yes, because perpendicular lines always intersect. all lines intersect unless they are parallel or on separate planes (skew)
