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 2 · 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.

$A small 3 by 2 rectangle beside a larger 9 by 6 rectangle of the same proportions.$

Rectangle $ABCD$ is $3$ units wide and $2$ units tall. Rectangle $EFGH$ is $9$ units wide and $6$ units tall, and the two rectangles are similar. What is the common ratio of each side of $EFGH$ to its corresponding side of $ABCD$ (the scale factor)?