Reflect over any line and rotate about a point, with coordinate rules
Grade 10 Math Worksheet - Building Confidence
Circle the best answer, or write your answer on the line.
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Coordinate grid, all four quadrants, each square one unit, origin in the middle. Triangle CDF is drawn with its corners labeled and the mirror line x = 2 drawn dashed across the grid; the image is not drawn.
Triangle CDF on Ari's quilt design has corners C(1, 5), D(-4, 3) and F(3, -2). It flips across the line x = 2. Where is D′? Write it like (7, -3).
Triangle FGH on Bo's kite design has corners F(-3, 2), G(2, 5) and H(4, 1). It flips across the line y = -1. Where is G′? Write it like (7, -3).
Triangle CDF on Jun's map design has corners C(-5, 1), D(2, 3) and F(0, -2). It flips across the line y = 4. Where is C′? Write it like (7, -3).
Triangle CDF on Kira's crown design has corners C(1, 3), D(-4, 6) and F(2, -5). It flips across the line y = x. Where is D′? Write it like (7, -3).
Triangle CDF on Noah's star design has corners C(-6, 1), D(3, -4) and F(4, 5). It flips across the line y = -x. Where is C′? Write it like (7, -3).
A flip sends Ren's bike marker from P(2, -5) to P′(2, 3). The mirror line is horizontal (y = k). What is k?
Ari's rocket marker P(-2, 6) is flipped across the line x = 3 to P′. How many units long is segment PP′?
Bo's robot marker P(7, -3) is flipped across the line y = 2 to P′. How many units long is segment PP′?
Esme's shell marker P(-5, 1) is flipped across the line x = -1 to P′. How many units long is segment PP′?
Jun's bus marker P(3, 6) is flipped across the line y = -2 to P′. How many units long is segment PP′?