Bisection of Chords (AQA A-Level Mathematics): Flashcards

Line segment with both endpoints on the circle

$\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)$

Line perpendicular to chord through its midpoint

Centre of the circle

Negative reciprocal of chord's slope

Equidistant (equal distances)

$(0, 0)$

$\frac{3}{4}$

$-\frac{4}{3}$

$y = x$