Answer:
WXYZ is a rectangle
Explanation:
∵ W = (-1.5 , 1.5) , X = (6 , 1.5)
∴ WX is a horizontal segment ⇒ same y-coordinates
∴ WX = 6 - -1.5 = 6 + 1.5 = 7.5 units ⇒ (1)
∵ Y = (6 , -4.5) , X = (6 , 1.5)
∴ XY is a vertical segment ⇒ same x-coordinates
∴ XY = 1.5 - -4.5 = 1.5 + 4.5 = 6 units ⇒ (2)
From (1) and (2) WX ⊥ XY
∵ Y = (6 , -4.5) , Z = (-1.5 , -4.5)
∴ YZ is a horizontal segment ⇒ same y-coordinates
∴ YZ = 6 - -1.5 = 6 + 1.5 = 7.5 units ⇒ (3)
From (1) and (3)
∴ WX // YZ and WX = YZ
∴ WXYZ is a rectangle ⇒ 2 opposite sides are parallel and equal
and 2 adjacent sides are ⊥