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 1 · 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
A

Recall / Warm-Up

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

A small triangle ABC beside a larger same-shape triangle DEF.
1.

Triangle ABCABC is similar to triangle DEFDEF, written ABCDEF\triangle ABC \sim \triangle DEF. In this statement, which side of DEF\triangle DEF corresponds to side ABAB of ABC\triangle ABC?