Back to Lines are taken to lines, and line segments to line segments of the same length — Problem 2 · Task Set 55

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.

$A coordinate grid showing segment AB and its translated image segment of the same length.$

Segment $AB$ has endpoints $A(1, 2)$ and $B(4, 6)$ , with length $5$ . Apply the translation $(x, y) \rightarrow (x + 3, y - 1)$ to get $A'$ and $B'$ . What is the length of the image segment $A'B'$ ?