Question

Given quadrilateral RSTU, determine if each pair of sides (if any) are parallel and which are perpendicular for the coordinates of the vertices.

R(0, 0), S(6, 3), T(5, 5), U(-1, 2)

Answer 1

Medals 0 * slope 2 = slope1 => parallel
* slope 2=-1/slope1 => perpendicular
slope(RS)= (y2-y2)/(x2-x1)=(3-0)/6-0)=1/2
slope(RT)=(5-0)/(5-0)=1
slope(RU)=(2-0)/(-1-0)=2
slope(ST)=(5-3)(5-6)=2/-1=-2
slope(SU)=(2-3)(-1-6)=1/-7=-1/7
slope(TU)=(5-2)(5-(-1))=3/6=1/2

Answer 2

slope(RS)=1/2=slope(TU) => they are parallel
slope(ST)=-2 it is perpendicular to both RS and TU slope 2=-1/slope(RS)=-1/(1/2)=-2

Answer 3

thanks!

Answer 4

YW