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What is the equation for a 90 degree rotation?

Posted on September 11, 2021 by Author

Table of Contents

  • 1 What is the equation for a 90 degree rotation?
  • 2 What do you do when you rotate 90 degrees counterclockwise about the origin?
  • 3 When we rotate a figure of 90 degrees counterclockwise we graph?
  • 4 Is it possible to rotate a graph and graph a function?

What is the equation for a 90 degree rotation?

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

What do you do when you rotate 90 degrees counterclockwise about the origin?

Rotations About The Origin 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.

What is the rule for a 90 degree clockwise rotation?

Rule : When we rotate a figure of 90 degrees clockwise, each point of the given figure has to be changed from (x, y) to (y, -x) and graph the rotated figure. Let us look at some examples to understand how 90 degree clockwise rotation can be done on a figure.

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How do you rotate a 90 degree clockwise graph?

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

When we rotate a figure of 90 degrees counterclockwise we graph?

When we rotate a figure of 90 degrees counterclockwise, each point of the given figure has to be changed from (x,y) to (-y,x) and graph the rotated figure.

Is it possible to rotate a graph and graph a function?

In general, the answer is no since the rotated version of the graph might not be the graph of a function. For instance it could happen that your rotated version of the graph contains two different points with the same -value — this cannot happen for the graph of a function. A way out could be to parametrise your graph.

What is the rule for 90 degree rotation?

90 DEGREE COUNTERCLOCKWISE ROTATION RULE. When we rotate a figure of 90 degrees counterclockwise, each point of the given figure has to be changed from (x, y) to (-y, x) and graph the rotated figure. Let F (-4, -2), G (-2, -2) and H (-3, 1) be the three vertices of a triangle.

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How do you find the vertices of a rotated figure?

Based on the rule given in step 1, we have to find the vertices of the rotated figure. Let A (-4, 3), B (-4, 1), C (-3, 0), D (0, 2) and E (-3,4) be the vertices of a closed figure.If this figure is rotated 90° counterclockwise, find the vertices of the rotated figure and graph. Here, triangle is rotated 90° counterclockwise.

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