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 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
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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.