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11.5 Rotations

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Rotations

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Rotate a Figure 90 about the origin

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Triangle ABC has vertices A(1,2), B(-1,-1) and C (2,0). If the triangle is rotated 90 clockwise about the origin what would the new coordinates be? xy A12 B C20 y-x A’2 B’1 C’0-2

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Rotate a figure 180 about the origin

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Triangle ABC has vertices A(-4,-1), B(-2,-5) and C (-2,-1). If the triangle is rotated 180 clockwise about the origin what would the new coordinates be? xy A-4 B-2-5 C-2 -x-y A’41 B’25 C’21

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Rotate a figure 270 about the origin

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Triangle ABC has vertices A(-2,0), B(-3,5) and C (-1,2). If the triangle is rotated 180 clockwise about the origin what would the new coordinates be? xy A-20 B-35 C2 -yx A’0-2 B’-5-3 C’-2

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Rotational Symmetry A figure can be rotated less than 360 degrees about its center so the images matches the original figure

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Determine if the star has rotational symmetry. If it does describe the angle of rotation. Yes, because the pattern repeats in 5 even intervals. The angle of rotation 360/5= 72 degrees.

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Homework Page 531 (3-6 all and 9-16 all)

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