1.

In the parallelogram ABCD A(2, 3); B(7, 3); and D(4, 7). Find the coordinates of C.

Answer»

In the figure ΔAED, ΔBFC

AD = BC. DE = CF

AE = BF = 2 unit

∴ x coordinate of C

= 7 + BF = 7 + AE = 7 + 2 = 9

y coordinate of C = 3 + FC = 3 + ED = 3 + 4 = 7

C has the coordinates (9, 7)



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