Prove that

Question

 The vertices of △WXY are W(-4, 1), X(0, -5), and Y(4, -1). A is the midpoint of WY, and B is the midpoint of XY. Show that AB ǁWX and AB = 1/2 WX

Answer 1

A = (0, 0)         midpoint formula

B = (2, -3)       midpoint formula

determine slope of AB and WX, if equal, lines are parallel

ΔAYB ≈ ΔWYX, AAA from || lines

AY = (1/2) WY, therefore, AB = (1/2) WX, corresponding parts in proportion