Q1 of 21 Page 139

All rectangles below have sides parallel to the axes. Find the coordinates of the remaining vertices of each.

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Coordinates of A = (– 1,3)


Coordinates of C = (2,6)


Line AB is parallel to X – axis ,


∴ Y coordinate will remain constant.


∴ Y – coordinate of B = 3


Line BC is parallel to Y – axis ,


∴ X coordinate will remain constant.


∴ X coordinate of B = 2


∴ coordinates of B = (2,3)


Line AD is parallel to Y – axis ,


∴ X coordinate will remain constant.


∴ X coordinate of D = – 1


Line CD is parallel to X – axis ,


∴ Y coordinate will remain constant.


∴ Y coordinate of D = 6


∴ coordinates of D = (– 1,6)


Hence, the remaining vertices of the rectangle are (2,3) and (– 1,6).


More from this chapter

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1

All rectangles below have sides parallel to the axes. Find the coordinates of the remaining vertices of each.

 1

All rectangles below have sides parallel to the axes. Find the coordinates of the remaining vertices of each.

 2

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, 8)


gd8.PNG

 2

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.

(6, 2), (5, 4)