Back to Lines are taken to lines, and line segments to line segments of the same length — Problem 1 · 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

Recall / Warm-Up

These problems review skills you already know: plotting points, finding lengths, and applying transformation rules.

$A coordinate grid with a segment from point A at (1, 1) to point B at (4, 5).$

A segment has endpoints $A(1, 1)$ and $B(4, 5)$ . Using the distance formula, what is the length of segment $AB$ ?

$5$

$7$

$\sqrt{7}$

$25$