Scenario with this thing right over here. If it was actually symmetricĪbout the horizontal axis, then we would have aĭifferent scenario. This point is called the center of rotation. A rotation (or turn) is a transformation that turns a line or a shape around a fixed point. Scroll down the page for more examples and solutions. The following diagram gives some rules of rotation. Make, essentially it's going to be an upsideĭown version of the same kite. Videos, worksheets, stories and songs to help Grade 7 students learn about rotation in geometry. Now let's think about thisįigure right over here. To the center of the figure, and then go thatĭistance again, you end up in a place where Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere. Let's say the center of theįigure is right around here. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Or I should say, it willĪround its center. So I think this one willīe unchanged by rotation. Same distance again, you would to get to that point. This point and the center, if we were to go that Rotation by 90 about the origin: A rotation by 90 about the origin is shown. Some simple rotations can be performed easily in the coordinate plane using the rules below. Use a protractor to measure the specified angle counterclockwise. That same distance again, you would get to that point. The amount of rotation is called the angle of rotation and it is measured in degrees. Point and the center, if we were to keep going Think about its center where my cursor is right And then if rotate it 180ĭegrees, you go over here. Rotate it 90 degrees, you would get over here. So what I want you to doįor the rest of these, is pause the video and thinkĪbout which of these will be unchanged andīrain visualizes it, is imagine the center. I have my base is shortĪnd my top is long. What happens when it's rotated by 180 degrees. Trapezoid right over here? Let's think about Square is unchanged by a 180-degree rotation. So we're going to rotateĪround the center. And we're going to rotateĪround its center 180 degrees. One of these copies and rotate it 180 degrees. Were to rotate it 180 degrees? So let's do two Which of these figures are going to be unchanged if I
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