Question

Please help me!!! Zoom in on picture to read the other 2 questions. 1 questions if on 2 parts of the collage.

Ferris wheel is drawn on a coordinate plane so that the first car is located at the point (30,0). What are the coordinates of the first car after a rotation of 270° about the origin?

Answer 1

1. option A is correct i.e.,
`\(90^(\circ)`.

2. option B is correct.

3. the coordinates of the car after a rotation of
`\(270^(\circ)` is (0,-30).

Explanation:

1. The angle of rotation is
`\(90^(\circ)`.

To calculate the angle of rotation we can use a protractor and measure the angle between two corresponding angles, using point C as a center.

2. Given: ΔPRS with coordinates P(-3,2), R(2,5) and S(0,0) is rotated through an angle of 270°, the new image will be as follows;

The formula for rotation through 270° is: (x,y) → (y,-x)

hence our image will be at point:

P(-3,2)→P'(2,3)

R(2,5)→R'(5,-2)

S(0,0)→S'(0,0)

from the above, the approximate image will be option B.

3. Given: Ferris wheel is drawn on a coordinate plane at the point P(30,0). The coordinates of the car after a rotation of
`\(270^(\circ)` is (0,-30).

Because the formula for rotation through 270° is: (x,y) → (y,-x).

So, point P(30,0)→P'(0,-30).