Back to Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, and dilations — Problem 3 · Task Set 24

Exercises: Understand Similarity Through Sequences of Transformations

Work through each section in order. A dilation centered at the origin with scale factor $k$ maps $(x, y)$ to $(kx, ky)$. The scale factor is the ratio of corresponding side lengths. Show your work where indicated.

Grade 8·21 problems·~35 min·Common Core Math - Grade 8·container·8-g-a-4
Work through problems with immediate feedback
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Recall / Warm-Up

These problems review skills you already know: corresponding sides, dilation rules, and the three rigid motions.

A coordinate grid with a point at (2, 1) and the origin marked.
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A dilation centered at the origin with scale factor 33 is applied to the point (2,1)(2, 1). What is the x-coordinate of the image point?