What is the equation of the perpendicular bisector?

What is the equation of the perpendicular bisector?

Thus the equation of the perpendicular bisector is x−y−2=0. Note: In the above problem, we have used point slope form to find the equation of line.

What is a perpendicular bisector with examples?

A median is defined as a line segment from a vertex of a triangle to the midpoint of the side opposite that vertex. So, if the median joins the opposite side at 90 degrees, it will be the perpendicular bisector of that side. For example, for an equilateral triangle, the medians are always perpendicular bisectors.

Is angle bisector perpendicular?

Perpendicular bisector is a line that divides a given line segment exactly into two halves forming 90 degrees angle at the intersection point. Perpendicular bisector passes through the midpoint of a line segment….Perpendicular Bisector.

How do you find the perpendicular of a triangle?

If we know one angle in an isosceles triangle we can find the other angles. The perpendicular from the vertex to the base line (the height) in an isosceles triangle divides the triangle into two equal right angled triangles. The sides of a right angled triangle ABC satisfy Pythagoras’ rule, that is a2 + b2 = c2 .

Which type of triangle will always have a perpendicular bisector?

Which type of triangle will always have a perpendicular bisector that is also an angle bisector? Equilateral triangle ABC has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle A to side at point M.

How do you write an equation for a perpendicular line?

Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6. Rearranged, it is –x/2 + y = 6.

What is perpendicular bisector in circle?

Theorem. The perpendicular bisector of any chord of any given circle must pass through the center of that circle. In the words of Euclid: From this it is manifest that, if in a circle a straight line cut a straight line into two equal parts and at right angles, the centre of the circle is on the cutting straight line.

What is a perpendicular bisector of a circle?

What is perpendicular line?

Perpendicular lines are lines that intersect at a right (90 degrees) angle.