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

Fluency Practice

Find scale factors, check proportionality, and describe transformation sequences. Show your work.

$A coordinate grid showing a small triangle ABC and a larger triangle DEF of the same shape.$

Triangle $ABC$ has vertices $A(1, 1)$ , $B(3, 1)$ , $C(1, 3)$ . Triangle $DEF$ has vertices $D(2, 2)$ , $E(6, 2)$ , $F(2, 6)$ , and $\triangle ABC \sim \triangle DEF$ . Using corresponding sides $AB$ and $DE$ , what is the scale factor from $\triangle ABC$ to $\triangle DEF$ ?