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For triangle ABC, find the midpoint of side BC. Then, find the slope of side BC and use its negative reciprocal (since the negative reciprocal slope is the slope of the right bisector joining side BC and the opposite vertex).
Finally, substitute the midpoint and negative reciprocal slope into the y=mx+b equation to get "b", then write the equation. :)
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How is constructing a perpendicular bisector different to constructing an angle bisector?
A perpendicular bisector is a straight line that divides a side of a triangle in two and is at right angles to that side. An angle bisector is a straight line that divides an angle of a triangle in two.
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! =)
How do you draw a bisector of a triangle?
Find the midpoint of a side and join it to the vertex opposite. That is a median and it divides the mass of a triangle in two halves. Each triangle has three medians. However, there is no reason for a bisector to go through a vertex - it can be a straight line through any point in the triangle. In such a case drawing the bisector analytically is likely to be beyond the skills of most geometry students. There is, though, a very simple practical solution. Cut out a copy of the triangle on a uniform lamina. Suspend it vertically by a pin through the required point. Then the vertical line through that point (use a plumb line) is the bisector of the triangle through that point.
Will a angle bisector determine a midpoint?
If you perform an angle bisector on an angle in a triangle, then it will go through the midpoint of the opposite side.
What is right bisector in math?
A right bisector of a line segment, is better know as a perpendicular bisector. It is a line that divides the original line in half and is perpendicular to it (makes a right angle).
How is constructing a perpendicular bisector different to constructing an angle bisector?
A perpendicular bisector is a straight line that divides a side of a triangle in two and is at right angles to that side. An angle bisector is a straight line that divides an angle of a triangle in two.
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.
Can an angle bisector of a triangle always intersect inside the triangle?
The angle bisectors always intersect inside the triangle. (This is not true for altitudes and right bisectors.)
Can a right triangle form a perpendicular bisector?
Yes because 2 of its 3 sides meet at right angles
Is the height of a triangle a bisector?
No.
What of a triangle is a segment drawn through the midpoint of a side forming a right angle?
It is the perpendicular bisector
What triangle must always have at least one angle bisector that is also a perpendicular bisector?
any isosceles triangle
What does a perpendicular bisector of a triangle split into two congruent parts?
That will depend on what type of triangle it is as for example if it is an isosceles triangle then it will form two congruent right angle triangles.
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! =)
What do you call the intersection of a triangle angle bisector?
triangles angle bisector is called incenter..
Could the median of a triangle be the perpendicular bisector?
Yes in equilateral triangle.
How do you determine that an isosceles triangle is an isosceles right triangle?
If the non-right angles are 45 degrees each. or If the sides adjacent to the right angle are equal. There are other properties that may be used instead. For example, the perpendicualr bisector of the hypotenuse bisects the right angle of the triangle.
