In our second experiment, point \(A (5,6)\) is rotated 180° counterclockwise about the origin to create \(A’ (-5,-6)\), where the \(x\)– and \(y\)-values are the same as point A but with opposite signs. In our first experiment, when we rotate point \(A (5,6)\) 90° clockwise about the origin to create point \(A’ (6,-5)\), the y-value of point A became the x-value of point A’ and the \(x\)-value of point A became the \(y\)-value of point A’ but with the opposite sign. Let’s take a closer look at the two rotations from our experiment. Here is the same point A at \((5,6)\) rotated 180° counterclockwise about the origin to get \(A’(-5,-6)\). Let’s look at a real example, here we plotted point A at \((5,6)\) then we rotated the paper 90° clockwise to create point A’, which is at \((6,-5)\). If you take a coordinate grid and plot a point, then rotate the paper 90° or 180° clockwise or counterclockwise about the origin, you can find the location of the rotated point. Let’s start by looking at rotating a point about the center \((0,0)\). Here is a figure rotated 90° clockwise and counterclockwise about a center point.Ī great math tool that we use to show rotations is the coordinate grid. We specify the degree measure and direction of a rotation. The angle of rotation is usually measured in degrees. The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. Another great example of rotation in real life is a Ferris Wheel where the center hub is the center of rotation. A figure can be rotated clockwise or counterclockwise. ![]() A figure and its rotation maintain the same shape and size but will be facing a different direction. We call this point the center of rotation. More formally speaking, a rotation is a form of transformation that turns a figure about a point. There are other forms of rotation that are less than a full 360° rotation, like a character or an object being rotated in a video game. The wheel on a car or a bicycle rotates about the center bolt. The earth is the most common example, rotating about an axis. Call it L’E’G’.Hello, and welcome to this video about rotation! In this video, we will explore the rotation of a figure about a point. Find the coordinates of the image after the given rotation: 2. Quadrilateral MATH has the following coordinate points: M (6,5) A (9,12) T (8,-2) H(0,0). Rotate the figure 180° clockwise and write the coordinates. Rotate the figure 90° counter-clockwise and write the coordinates.Ħ. In what quadrant will an image be if a figure is in quadrant I and is rotated 90° counterclockwise? ![]() In what quadrant will an image be if a figure is in quadrant III and is rotated 180° clockwise? In what quadrant will an image be if a figure is in quadrant II and is rotated 90° clockwise? Why rotation is called a rigid transformation? If the image is moving 270° counter-clockwise, what will be the coordinates of R’S’T’? Exercise: If the image is moving 180° counter-clockwise, what will be the coordinates of R’S’T’? If the image is moving 180° clockwise, what will be the coordinates of R’S’T’? If the image is moving 90° counter-clockwise, what will be the coordinate of R’S’T’? If the image is moving 90° clockwise, what will be the coordinates of R’S’T’?
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