A rotation is a type of transformation in which the edges of a shape are moved around a fixed point.Imagine glueing a triangle to the clock's second hand.You will be asked to rotation a shape around the origin, which is the point on a coordinate plane.Three basic formulas can be used to rotate shapes around the origin.
Step 1: Refer to the corresponding clockwise and counterclockwise rotation.
When rotating shapes on a coordinate plane, they move counterclockwise or towards the left.Unless it is noted in the problem that you need to rotate clockwise, you should assume this.If the problem states that you should rotation the shape 90 degrees around the origin, you can assume it's counterclockwise.You would complete this problem by rotating the shape around the origin.
Step 2: Find the coordinates of the original point.
Determine the coordinates using the graph if these aren't already provided.The coordinates of points are shown using the (x,y)display style formula, where x equals the point on the horizontal or x- axis.You might have a triangle with points.
Step 3: Put the formula in place for rotating a shape.
The rightarrow is in the formula.The formula shows that you are flipping the shape.
Step 4: The coordinates should be inserted into the formula.
Make sure you keep your coordinates straight.You can use this formula to change the order of the coordinates by taking the negative y value.The points become (-4), (-1, 1), and (-8).
Step 5: The new shape needs to be drawn.
The new points are on the plane.You can connect your points with a straightedge.The shape shows the original shape rotating around the origin.
Step 6: The corresponding clockwise and counterclockwise rotation should be identified.
rotating a shape 180 degrees clockwise is the same as rotating 180 counterclockwise.You can assume that you are rotating the shape counterclockwise if the problem states that.You could complete this problem by rotating the shape 180 degrees clockwise around the origin.
Step 7: Write down the coordinates of the shape.
These are likely to be given.You should be able to deduce them if you look at the coordinate graph.Use the (x, y) convention to note the coordinates of each point.You could have a rhombus with points of 4, 6, and 2.
Step 8: The formula for rotating a shape needs to be set up.
The rightarrow is in the formula.You are reflecting the shape twice with this formula.
Step 9: The coordinates should be inserted into the formula.
Plug the correct coordinate into the new ordered pair.The x and y values are kept in the same position, but the negative value of each coordinate is taken into account.The points become (-4, 6), (4, -6), (2, 1), and (-2, 1).
Step 10: The new shape should be drawn.
The new points are on the plane.You can connect your points with a straightedge.The original shape is 180 degrees around the origin.
Step 11: The corresponding rotation is clockwise and counterclockwise.
It is the same as rotating it 90 degrees clockwise.Shapes are counterclockwise on a plane.Unless it's noted in the problem that you need to rotate clockwise, you should assume this.If the problem states that you should rotation the shape 270 degrees around the origin, you can assume it's counterclockwise.The same way you complete this problem, you wouldRotate the shape 90 degrees clockwise around the origin.
Step 12: Find the coordinates of the original point.
You should be able to find the coordinates by looking at the coordinate plane if this information is provided.You could have a triangle with points.
Step 13: The formula for rotating a shape should be set.
The rightarrow is in the formula.It shows you how the shape is reflecting.
Step 14: The coordinates should be plugged into the formula.
Plug the correct x and y values into the new coordinate pair.The x and y values are reversed, and the negative value of the x coordinate is taken.The points (4, 6), (1, 2), and (8, -1) become 6 and -4), respectively.
Step 15: The new shape needs to be drawn.
New points can be drawn on the plane.To connect them, use a straightedge.The shape shows the original shape rotating around the origin.