What happens when a line is rotated?

Mathematically there is no meaning in “rotating a line”, but just in the (already) rotated line. You cannot move the line because you cannot move the points from which it is made of. Instead your rotated line is a completely new line which (as we say) looks like the former line, but “rotated”.

How do you rotate an equation 90?

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

What is the formula for rotating 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 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 a 90 clockwise rotation?

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. Then we can join the points and find the new positioned figure.

Is rotation clockwise positive?

Positive and Negative Angles The measure of an angle describes the magnitude and direction of the rotation of the ray from its initial position to its terminal position. If the rotation is counterclockwise, the angle has a positive measure. If the rotation is clockwise, the angle has a negative measure.

When you rotate a point that is the point of rotation what happens?

Understanding Rotations A rotation occurs when an image turns around a center of rotation with every point of the rotated image remaining the same distance from the center of rotation. For now, you will specifically be looking at 90°, 180°, and 270° rotations around the origin.

How do you find the slope of a line with two points?

Write the equation in slope–intercept form. Since we have two points, we will find an equation of the line using the point–slope form. The first step will be to find the slope. Find the slope of the line through (−3, −1) and (2, −2). Choose either point. Write in slope–intercept form. Find an equation of a line containing the points and .

How do you find the equation of a perpendicular line?

To Find an Equation of a Line Perpendicular to a Given Line 1 Find the slope of the given line. 2 Find the slope of the perpendicular line. 3 Identify the point. 4 Substitute the values into the point-slope form, . 5 Write the equation in slope-intercept form.

How do you find the equation of a parallel line?

To Find an Equation of a Line Parallel to a Given Line 1 Find the slope of the given line. 2 Find the slope of the parallel line. 3 Identify the point. 4 Substitute the values into the point-slope form, . 5 Write the equation in slope-intercept form.

What is 90 degree clockwise rotation in math?

“90 degree clockwise rotation” is the stuff which is required to the students who study math in the grade level 6.