Back to Lines are taken to lines, and line segments to line segments of the same length — Problem 4 · 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.

$A coordinate grid showing segment CD and its reflection across the y-axis, both the same length.$

Segment $CD$ has endpoints $C(-3, 2)$ and $D(1, -1)$ . It is reflected across the y-axis to give $C'(3, 2)$ and $D'(-1, -1)$ . What is the length of the image segment $C'D'$ ?