Question

which could be the coordinates of the vertices of the following parallelogram, given that s is a units from the origin, z is b units from the origin, and then length of the base is c units?

Answer 1

W(b+c, 0), Z(b, 0), S(0, a), T(c,a)

Answer 2

W(b+c, 0), Z(b, 0), S(0, a), T(c,a)

Explanation:

Given that a parallelogram has vertices as WZST and also

S is a units from origin. Without loss of generality assume S lies on y axis, then x coordinate is (0,a). Z is b units from origin let it be on x axis and Z would be (b,0)

Length of base is c units. Hence another vertex would be on x axis at a distance of c units from (b,0) can be (b+c,0)

Since base is c units, opposite side is also c units or ST would be c units

So T would be (c,a) since ST is parallel to x axis.