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Directions
Graph and label each figure and its image under a reflection in the given line. Give the coordinates of the image.
- Square BCDE with vertices B(-6, 7), C(-2, 6), D(-3, 2), and E(-7, 3) - y-axis
- B' (6, 7)
- C' (-2, 6)
- D' (3, 2)
- E' (7, 3)
- Trapezoid JKLM with vertices J(-4, 3), K(-2, 7), L(2, 7), and M(3, 3) - y = 1
- J'(-4, -1)
- K'(-2, -5)
- L' (2, -5)
- M' (3, -1)
- Triangle PQR with vertices P(-2, 3), Q(2, 4), and R(1, -1) - x = -3
- P'(-43)
- Q'(-8, 4)
- R'(-7, -1)
- Triangle FGH with vertices F(1, 8), G(5, 7), and H(2, 3) - y = x
- F' (8, 1)
- G' (7, 5)
- H' (3, 2)
- Rhombus WXYZ with vertices W(1, 5), X(6, 3), Y(1, 1), and Z(-4, 3) - x-axis
- W' (-1, -5)
- X' (6, -3)
- Y' (1, -1)
- Z' (-4, -3)
- Rectangle MNOP with vertices M(-7, 1), N(-4, 1), O(-4, -4), and P(-7, -4) - y = -x
- M' (1, -7)
- N' (-1, -4)
- O' (4, -4)
- P' (4, -1)
- Quadrilateral STUV with vertices S(-3, -3), T(3, -5), U(6, -7), and V(-2, -7) - y = -4
- S' (-3, -5)
- T' (3, -3)
- U' (6, -1)
- V' (-2, -1)
Reflections in Geometry Formulas
Name the line of reflection used to map each preimage to its image.
- Triangle BCD with vertices B(-2, 3), C(8, 7), and D(-1, -5) - y = x
- y=x
- B'(-3, -4) is the image of B after a reflection in the y-axis. What are the coordinates of B?
- B (3, -4)
- K'(6, 5) is the image of K after a reflection in the line y = 2. What are the coordinates of K?
- K (6, -1)
- R'(-1, 9) is the image of R after a reflection in the x-axis. What are the coordinates of R?
- R (-1, -9)
- Z'(5, -7) is the image of Z after a reflection in the line y = x. What are the coordinates of Z?
- Z (-1, 5)
Ⓒ Gina Wilson (All Things Algebra, LLC), 2015-2018
