Analytical Geometry

Distance/ Length

√(X2-X1)^2 + (y2-y1)^2 ​

Midpoint

(x1+x2/2; y1+y2/2)

gradient

m = y2-y1/x2-x2

|| lines

m1-m2=0 m1=m2

perpindicular lines

m1×m2 =-1ORreciprocal

collinear

mAB = mCD

diagonal bisected

midpoints =

trapezium

1 pair of parallel sides

parallelogram

Diagonals bisect each other

rhombus

parallelogramdiagonals perpendicular

rectangle

parallelogram with 1 right angles (90°)

square

rhombus & 1 90° angle ORrectangle & diagonals perpendicular

kite

1 diagonal bisected at 90°