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Dilations in the Coordinate Plane. Words To dilate a fi gure with respect to the origin, multiply the coordinates of each vertex by the scale factor k. Algebra (x, y) (kx, ky) When k > 1, the dilation is an enlargement. When k > 0 and k < 1, the dilation is a reduction.
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Geometry Worksheet Dilations. 1. Use the ruler to draw the image of the figure under a dilation with center M and the scale factor k indicated.
how to dilate an object on the coordinate plane, how to determine the scale factor of a dilation, examples and step by step solutions, Grade 9.
Examples, solutions, videos, and worksheets to help Grade 7 and Grade 8 learn how to use a compass and a ruler to perform dilations. Learn that dilations map lines to lines, segments to segments, and rays to rays. Know that dilations are angle-preserving.
Dilating a Figure in the Coordinate Plane. Graph quadrilateral KLMN with vertices K( −3, 6), L(0, 6), M(3, 3), and N( and its image after a dilation with a scale factor of . 1 −3, −3) — 3. SOLUTION. Use the coordinate rule for a dilation with 1 k. =. — 3 to fi nd the coordinates of the vertices of the image.
a. Dilate ABC using a scale factor of 2 and a center of dilation at the origin to form A ′B′C ′. Compare the coordinates, side lengths, and angle measures of ABC and A ′B′C ′. Sample Points. A(2, 1) B(1, 3) C(3, 2) Segments. AB = 2.24. BC = 2.24. AC = 1.41. Angles. m∠A = 71.57°. m∠B = 36.87°. 1 b. Repeat part (a) using a scale factor of — .