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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 kk maps (x,y)(x, y) to (kx,ky)(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.
1.

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?