10th grade Reflect over any line and rotate about a point, with coordinate rules worksheet

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.

1. Read this first

   Use this

   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.

2. 1.

   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).
3. 2.

   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).
4. 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).
5. 4.

   Triangle FGH on Luz's tent design has corners F(5, 2), G(-3, 4) and H(-6, -1). It flips across the line y = -x. Where is F′? Write it like (7, -3).
6. 5.

   Triangle QSU on Milo's window design has corners Q(-2, -5), S(7, -3) and U(3, 6). It flips across the line y = x. Where is S′? Write it like (7, -3).
7. 6.

   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).
8. 7.

   A flip sends Pia's boat marker from P(-3, 6) to P′(5, 6). The mirror line is vertical (x = k). What is k?
9. 8.

   A flip sends Zee's paper marker from P(6, -2) to P′(6, 8). The mirror line is horizontal (y = k). What is k?
10. 9.

    Ari's rocket marker P(-2, 6) is flipped across the line x = 3 to P′. How many units long is segment PP′?
11. 10.

    Jun's bus marker P(3, 6) is flipped across the line y = -2 to P′. How many units long is segment PP′?