ABCD is a square in which A lies on the positive y-axis and B lies on the positive x-axis. If D is the point (12, 17), the coordinates of C are

$A B C D$ is a square in which $A$ lies on the positive $y$ -axis and $B$ lies on the positive $x$ -axis. If $D$ is the point (12, 17), the coordinates of $C$ are

A
(17, 12)
B
(17, 5)
C
(14, 16)
D
(15, 3)

Solution:

Triangles $N D A, M B C$ and $O A B$ are congruent

$\Rightarrow M B = O A = N D = 12$

and $C M = O B = N A = O N - O A = 5$

$O M = O B + B M = 5 + 12 = 17$

coordinates of $C = (O M, C M) = (17, 5)$

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