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$ABCD$ is a square. Points $E (4, 3)$ and $F (2, 5)$ lie on $AB$ and $CD$ , respectively, such that $EF$ divides the square in two equal parts. If the coordinates of A are $(7, 3)$ , then the value coordinates of other vertices can be

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7,2

7,5

−1,3

−1,5

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detailed solution

Correct option is D

Since EF divides the square in two parts, it must pass through the center of the and center is midpoint of EF. So, center of the square is 3,4.Therefore, coordinates of C are −1,5

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ABCD is a square. Points E4,3and F2,5 lie on AB and CD, respectively, such that EF divides the square in two equal parts. If the coordinates of A are 7,3, then the value coordinates of other vertices can be

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

$ABCD$ is a square. Points $E (4, 3)$ and $F (2, 5)$ lie on $AB$ and $CD$ , respectively, such that $EF$ divides the square in two equal parts. If the coordinates of A are $(7, 3)$ , then the value coordinates of other vertices can be