What is the image of the point (-1,-2)after a rotation of 180∘

Mathematics

2 answers:

blsea [12.9K]2 years ago

7 0

Answer:

(1,2)

Step-by-step explanation:

igor_vitrenko [27]2 years ago

4 0

Answer:

The image of the point is (1, 2)

Step-by-step explanation:

If the point (x, y) rotated about the origin by angle 90° counterclockwise, then its image is (-y, x)

If the point (x, y) rotated about the origin by angle 180° counterclockwise, then its image is (-x, -y)

If the point (x, y) rotated about the origin by angle 270° counterclockwise, then its image is (y, -x)

Let us use the rules above to solve the question

∵ The point (-1, -2) is rotated 180° counterclockwise about the origin

→ By using the 2nd rule above change the signs of x and y coordinates

∴ Its image is (1, 2)

∴ The image of the point is (1, 2)

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