Without drawing coordinates axes, mark each pair of points below with left – right, top – bottom position correct. Find the other coordinates of the rectangles drawn with these as opposite vertices and sides parallel to the axes.
(– 3, 5), (– 7, 1)
Steps for marking the given points:
1) Mark Point (– 3,5) anywhere.
2) Move (– 7 – (– 3)) = – 4 units right i.e. 4 units left.
3) Move (1 – 5) = – 4 units up i.e. 4 units down.
4) Mark the point at the current position.
Since sides of the rectangle are parallel to coordinate axes,
Their equations will be
x = – 3
x = – 7
y = 5
y = 1
Point of intersection of x = – 3 and y = 5 is (3,5) [Given point]
Point of intersection of x = – 7 and y = 5 is (– 7,5)
Point of intersection of x = – 3 and y = 1 is (– 3,1)
Point of intersection of x = – 7 and y = 1 is (– 7,1) [Given point]
Hence, the coordinates of the other vertices of the rectangle are (– 3,1) and (– 7,5)
Couldn't generate an explanation.
Generated by AI. May contain inaccuracies — always verify with your textbook.
