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Circles circumscribed about a given triangle will all have centers equal to the incenter but can have different radii?
Yes, that is correct. Circles circumscribed about a given triangle will have centers that are equal to the incenter, which is the point where the angle bisectors of the triangle intersect. However, the radii of these circles can vary depending on the triangle's size and shape.
The intersection of the angle bisectors of a triangle?
The intersection of the angle bisectors of a triangle is called the incenter. It is equidistant from the sides of the triangle and can be constructed by drawing the angle bisectors of the triangle's angles. The incenter is the center of the incircle, which is the circle inscribed within the 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.
If two angle bisectors of a triangle are congruent then prove that triangle is isosceles?
The two angle bisectors of a triangle are congruent the those two angles are congruent. The angles are bisected the same meaning that the whole and half angle are the same. For example if they are bisected at the whole angle 50 each, then each half is 25. The bisectors really don't mean anything and all you need is 50 to know it's isosceles. 50 and 50 is 100 and the left over for the last angle is 80 adding to 180. AND overall any 2 congruent angles in a triangle have the same congruent legs making it isosceles.
The angle bisectors of a triangle share a common point of what?
The three bisectors meet at a point which is the centre of the circle. is you draw the circle that has that point as centre and 1 of the corners as a point on the circle, all corners will be on the circle
Is the point of concurrency for perpendicular bisectors of any triangle the center of a circumscribed circle?
yes it is
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.
The point of concurrency of the perpendicular bisectors of a triangle?
circumcenter
What is the point of concurrency of the perpendicular bisectors of a triangle?
circumcenter
What is point of concurrency of perpendicular bisectors of a triangle?
It is the circumcentre.
The point of concurrency of the perpendicular bisectors of a triangle is called?
Circumcenter.
The point of concurrency for perpendicular bisectors of any triangle is the center of a circumscribed circle true or false?
The perpendicular bisector of ANY chord of the circle goes through the center. Each side of a triangle mentioned would be a chord of the circle therefore it is true that the perpendicular bisectors of each side intersect at the center.
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.
How do you find the incenter?
The incenter is the point of concurrency of the perpendicular bisectors of the triangle's sides
What is the point of concurrency of an altitude of a triangle?
The point of concurrency of the altitudes in a triangle is the orthocenter, while the point of concurrency for the perpendicular bisectors is the centroid/circumcenter. Sorry if this is late! xD
If the point of concurrency of the perpendicular bisectors of a triangle lies outside the triangle what type of triangle is it?
Isometric, I think * * * * * An obtuse angled triangle.
Which points of concurrency may lie outside the triangle?
The orthocentre (where the perpendicular bisectors of the sides meet).
