The point K(1,5) is rotated through 90^{} anti-clockwise about the origin. Find the coordinates of the image of K.

Correct Answer is : (−5,1)(-5,1)(−5,1)

Correct Answer is : (−5,1)(-5,1)(−5,1)

Test Index

BECE Mathematics 2015 Paper

Question : 31

Total: 40

The point

K(1,5)

90^{\circ}

K

Solution:

Concept:

For a

90^\circ

anti-clockwise rotation about the origin, the point

\binom{x}{y}

changes to

\binom{-y}{x}

Explanation:

The formula for anti-clockwise rotation through

90^\circ

about the origin is:

\binom{x}{y} \rightarrow \binom{-y}{x}

Here, the given point is

K(1,5)

. So,

x = 1

and

y = 5

Apply the formula:

\binom{1}{5} \rightarrow \binom{-5}{1}

Thus, the coordinates of the image of

K

are

(-5,1)

Answer:

The image of

K(1,5)

(-5,1)

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