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 5 · 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
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Fluency Practice

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

1.

Two similar triangles have corresponding sides in the ratio 156\frac{15}{6}. A student must report the scale factor as a fully reduced fraction. What is the scale factor? Write it as a fraction.