Points: (h, k) and (3h, -5k)
Slope: -3k/h
Perpendicular slope: h/3k
Midpoint: (2h, -2k)
Perpendicular equation: y--2k = h/3k(x-2h)
Multiply all terms by 3k: 3ky--6k2 = h(x-2h)
Equation in terms of 3ky = hx-2h2-6k2
Perpendicular bisector equation in its general form: hx-3ky-2h2-6k2 = 0
The equation will be a perpendicular bisector equation of the given points:- Points: (-1, 3) and (-2, -5) Midpoint: (-3/2, -1) Slope: 8 Perpendicular slope: -1/8 Perpendicular equation: y--1 = -1/8(x--3/2) => y = -1/8x-3/16-1 Therefore the perpendicular bisector equation is: y = -1/8x -19/16
False. 1). The proposed equation y=mx suggests that the chord's right bisector has no y-intercept, i.e. passes through the origin. This is interesting, and appears plausible, and I'm willing to acknowledge that this aspect of it is true. But ... 2). If the slope of the chord is 'm', then the slope of its right bisector is not also 'm'. If it were, that would make the chord and its bisector parallel, which would be pretty silly. The slope of any line perpendicular to the chord, including its right bisector, has to be '-1/m'. The equation of the chord's right bisector is: Y = -X/m .
Points: (-7, -3) and (-1, -4) Slope: -1/6 Perpendicular slope: 6 Mid-point (-4, -3.5) Equation: y - -3.5 = 6(x - -4) => y = 6x+20.5 Perpendicular bisector equation in its general form: 6x -y+20.5 = 0
8
An angle bisector is a line. A bisector is something that cuts something into two equal parts. The line passes through the angle dividing it into two equal parts and is called an angle bisector.
1
If you perform an angle bisector on an angle in a triangle, then it will go through the midpoint of the opposite side.
Equilateral triangles
A perpendicular bisector is a line that cuts through another line at 90 degrees
equilateral triangles
Points: (7, 7) and (3, 5) Midpoint: (5, 6) Slope: 1/2 Perpendicular slope: -2 Use: y-6 = -2(x-5) Perpendicular bisector equation: y = -2x+16 or as 2x+y-16 = 0
perpedicular to the action of force.