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What is the image of the point (-5,-7) after a rotation of 270° counterclockwise about the origin?

User Chrisandra
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Answer:

7, -5

Explanation:

-5, -7 after a rotation of 270 degrees lands in quadrant 2 left y positive where x negative. while 90 degree clockwise is equal to 270 degree counterclockwise = 7 ,-5 What are the coordinates of the image after a rotation of 90 clockwise?

When the point is rotated through 90° clockwise about the origin, the point M (h, k) takes the image M’ (k, -h). Therefore, the new position of point M (-2, 3) will become M’ (3, 2).

How do you calculate a 90 degree rotation?

The rule for a rotation by 90° about the origin is (x,y)→(−y,x) .

What is the image of point 3/5 If the rotation is?

Answer: The image point will be (-3, -5) .

How do you find the coordinates of the image of a point after a 270 degree rotation?

Answer – To find the coordinates of point (x,y) after a 270° counterclockwise rotation about the origin, multiply the x-coordinate by -1 and then interchange the x- and y-coordinates.

How do you find the rotation point?

The x coordinate of the rotated point is rcos(θ), and the y coordinate is rsin(θ). If you plug in 5 and 66.87 for r and θ, you find that the rotated point (x1,y1) = (1.964, 4.598).

What is 270 degrees rotated?

270 Degree Rotation When rotating a point 270 degrees counterclockwise about the origin our point A(x,y) becomes A'(y,-x). This means, we switch x and y and make x negative.

What is 90 degrees counterclockwise?

90 Degree Rotation When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative.

How do you rotate a point 90 degrees clockwise?

Answer: To rotate the figure 90 degrees clockwise about a point, every point(x,y) will rotate to (y, -x).

What is a 90 degree rotation clockwise?

Answer: To rotate the figure 90 degrees clockwise about a point, every point(x,y) will rotate to (y, -x). Let’s understand the rotation of 90 degrees clockwise about a point visually.

How do you calculate a 90 degree rotation? The general rule for rotation of an object 90 degrees is (x, y) ——–> (-y, x). You can use this rule to rotate a pre-image by taking the points of each vertex, translating them according to the rule, and drawing the image.

When to rotate point c 180 or counterclockwise?

And this process could be repeated if you wanted to rotation Point C 180 degrees or 270 degrees counterclockwise: Point C after a 180-degree rotation. Point C after a 270-degree rotation. This example should help you to visually understand the concept of counterclockwise geometry rotations.

How to calculate the coordinate point of rotation?

The following formula can be used to calculate the coordinate point in the x-y plane that has rotated by some angle (θ) about the x-axis. Note these formulas are for clockwise rotation. X=xcos (θ)+ysin (θ) Y=−xsin (θ)+ycos (θ) Where X is the new X coordinate. Y is the new Y coordinate. and θ is the angle of rotation.

What is the definition of rotation in geometry?

Rotation Geometry Definition: A rotation is a change in orientation based on the following possible rotations: 90 degrees clockwise rotation 90 degrees

User Radim
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