Find the image of p(-3,5) when rotated through 360^{} about the origin.

Correct Answer is : (−3,5)(-3,5)(−3,5)

Correct Answer is : (−3,5)(-3,5)(−3,5)

Test Index

BECE Mathematics 2021 Paper

Question : 5

Total: 40

p(-3,5)

360^{\circ}

Solution:

Property: Rotations by Multiples of 90 Degrees about the Origin

For a point with coordinates

(x, y)

,the following is true:

POINT#	RULE
1	A rotation of 90 degrees results in a point with coordinates $(-y, x)$
2	A rotation of 180 degrees results in a point with coordinates $(-x, -y)$
3	A rotation of 270 degrees results in a point with coordinates (𝑦,−𝑥)
4	A rotation of 360 degrees results in a point with coordinates (𝑥,𝑦)
5	A rotation with a positive degree value indicates a counterclockwise rotation, and a rotation with a negative degree valueindicates a clockwise rotation.
6	A rotation of $-90^{\circ}$ is equivalent to a rotation of 270∘, (360-90) and therefore results in a point with coordinates $(y, -x)$
7	A rotation of $-180^{\circ}$ is equivalent to a rotation of 180°, (360-180) and therefore results in a point with coordinates $(-x, -y)$
8	A rotation of $-270^{\circ}$ is equivalent to a rotation of $90^{\circ}$ , $(360-270)$ and therefore results in a point with coordinates $(-y, x)$
9	A rotation of −360° is equivalent to a rotation of 0∘, $(360-360)$ and therefore results in a point with coordinates $(x, y)$ .

From point

4

, rotation of point through

360^{\circ}

about the origin is the same point, hence the image of rotating the point

(-3,5)

through

360^{\circ}

will be the same,

(-3,5)

Go to Question:

Prev Question

Next Question