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 66

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

Recall / Warm-Up

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

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

Triangle $ABC$ is similar to triangle $DEF$ , written $\triangle ABC \sim \triangle DEF$ . In this statement, which side of $\triangle DEF$ corresponds to side $AB$ of $\triangle ABC$ ?

Side $DE$

Side $EF$ , the second-to-third pairing

Side $DF$ , the first-to-third pairing

Side $FE$ , read in reverse order