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 = (2, – 4)


Coordinates of C = (– 1, – 2)


Line AB is parallel to X – axis ,


∴ Y coordinate will remain constant.


∴ Y – coordinate of B = – 4


Line BC is parallel to Y – axis ,


∴ X coordinate will remain constant.


∴ X coordinate of B = – 1


∴ coordinates of B = (– 1, – 4)


Line AD is parallel to Y – axis ,


∴ X coordinate will remain constant.


∴ X coordinate of D = 2


Line CD is parallel to X – axis ,


∴ Y coordinate will remain constant.


∴ Y coordinate of D = – 2


∴ coordinates of D = (2, – 2)


Hence, the remaining vertices of the rectangle are (– 1, – 4) and (2, – 2).


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

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