See what we can offer to your school
"SimpleStudy just makes sense...”
Get the best plan for your school
10 cards from this deck
A line segment with both endpoints on the circle.
M=((x1+x2)/2,(y1+y2)/2)M = ((x_1 + x_2)/2, (y_1 + y_2)/2)M=((x1+x2)/2,(y1+y2)/2)
A line that is perpendicular and passes through midpoint.
It is equidistant from the endpoints of a segment.
Midpoint M=(x1+x22,y1+y22)M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)M=(2x1+x2,2y1+y2)
m=(y2−y1)/(x2−x1)m = (y_2 - y_1) / (x_2 - x_1)m=(y2−y1)/(x2−x1)
It is the negative reciprocal of the chord's slope.
y−y1=m(x−x1)y - y_1 = m(x - x_1)y−y1=m(x−x1)
The centre is equidistant from both endpoints of the chord.
The perpendicular bisector of a chord passes through the centre.
Select your subjects, and get access to A+ resources today.