What is the angle of rotation for this counterclockwise rotation about the origin?
270°
The point of rotation is the origin, draw lines joining one of the points, say X and it’s image to the origin. You can see that the lines form an angle of 270° , in the counterclockwise direction. Therefore, ΔX’Y’Z’ is obtained by rotating ΔXYZ counterclockwise by 270° about the origin.
What is 90 degrees counterclockwise?
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.
What is the rule for a rotation of 180 degrees counterclockwise?
Rule of 180° Rotation If the point (x,y) is rotating about the origin in 180-degrees counterclockwise direction, then the new position of the point becomes (-x,-y).
What is the rule for a 180 degree counterclockwise rotation?
Let’s rotate triangle ABC 180° about the origin counterclockwise, although, rotating a figure 180° clockwise and counterclockwise uses the same rule, which is (x,y) becomes (-x,-y), where the coordinates of the vertices of the rotated triangle are the coordinates of the original triangle with the opposite sign.
What is the formula for rotation of 90 degrees?
The rule/formula for 90 degree clockwise rotation is (x, y) —> (y, -x). After applying this rule for all coordinates, it changes into new coordinates and the result is as follows: I believe that the above graph clears all your doubts regarding the 90 degrees rotation about the origin in a clockwise direction.
How to rotate 90 degrees counterclockwise?
Identify the corresponding clockwise and counterclockwise rotations. Since a full rotation has 360 degrees,rotating a shape 180 degrees clockwise is the same as rotating 180 counterclockwise.
What are the rules for rotations in math?
90 degree rotation: (x,y) —-> (-y,x)
What are the rotation rules in geometry?
– Note the corresponding clockwise and counterclockwise rotations. Rotating a shape 90 degrees is the same as rotating it 270 degrees clockwise. – Find the coordinates of the original vertices. – Set up the formula for rotating a shape 90 degrees. – Plug the coordinates into the formula. – Draw the new shape.