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Back to Lines are taken to lines, and line segments to line segments of the same length — Problem 3 · Task Set 55

Exercises: Rigid Motions Preserve Lines and Lengths

Work through each section in order. For length calculations, use the distance formula d=(x2−x1)2+(y2−y1)2d = \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
A

Recall / Warm-Up

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

1

Apply the translation rule (x,y)→(x+2,y−3)(x, y) \rightarrow (x + 2, y - 3) to the point (5,4)(5, 4). What is the image point?