Maths - Perpendicular Bisectors, Medians, Altitudes & Collinear

The difference between a Perpendicular bisector, a median, an altitude and whether points are collinear.

Perpendicular Bisector

Find gradient of PQ. Calculate perpendicular gradient. Find mid-pt of PQ. Use perpendicular gradient + mid-pt to find equation of perpendicular bisector.

Median

Find mid-pt of AB. Then find gradient using C & mid-pt. Use gradient + point C to get equation of median.

Altitudes

Find gradient of AC. Find perpendicular gradient. Use point B + perpendicular gradient to find equation of altitude.

Collinearity

If gradient AB = BC and they share a common pt, pts are collinear.

If gradient PQ = RS but they do not share a common pt, pts are not collinear.

If gradient LM does not equal gradient MN, the pts are not collinear.