Back to Lines are taken to lines, and line segments to line segments of the same length — Problem 5 · Task Set 19

Exercises: Rigid Motions Preserve Lines and Lengths

Work through each section in order. For length calculations, use the distance formula $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$. Show your work where indicated.

Grade 8·20 problems·~30 min·Common Core Math - Grade 8·standard·8-g-a-1a

Work through problems with immediate feedback

Fluency Practice

Apply each transformation and verify the line- and length-preservation properties. Show your work.

Segment $EF$ has endpoints $E(0, 0)$ and $F(2, 3)$ . Its length is $\sqrt{13}$ . After a translation, the image endpoints are $E'(5, 1)$ and $F'(7, 4)$ . What is the length of $E'F'$ ? Give your answer as an exact value.