Slide and flip a shape on the grid
Grade 8 Math Worksheet

Circle the best answer, or write your answer on the line.
Esme slides a sled sticker 4 units left and 3 units up on a game map. One corner, D, starts at (2, 5). Where does D′ land? Write it like (7, -3).
Luz slides a bike sticker 3 units right and 8 units down on a game map. One corner, S, starts at (-4, 2). Where does S′ land? Write it like (7, -3).
Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. The bike sticker with corner S(-4, 2) marked; the image is not drawn. Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. The bike sticker with corner S(-4, 2) marked; the image is not drawn. 20 squares across −10 −8 −6 −4 −2 2 4 6 8 10 −10 −9 −8 −7 −6 −5 −4 −3 −2 −1 1 2 3 4 5 6 7 8 9 10 S Triangle CDF on Milo's kite design has corners C(1, 2), D(4, 6) and F(5, -1). Milo flips it across the x-axis. Where is D′? Write it like (7, -3).
Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. Triangle CDF is drawn with its three corners labeled; the image is not drawn. Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. Triangle CDF is drawn with its three corners labeled; the image is not drawn. −10 −8 −6 −4 −2 2 4 6 8 10 −10 −8 −6 −4 −2 2 4 6 8 10 0 C D F Triangle SUV on Pia's sled design has corners S(3, -5), U(7, -2) and V(2, 4). Pia flips it across the x-axis. Where is U′? Write it like (7, -3).
Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. Triangle SUV is drawn with its three corners labeled; the image is not drawn. Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. Triangle SUV is drawn with its three corners labeled; the image is not drawn. −10 −8 −6 −4 −2 2 4 6 8 10 −10 −8 −6 −4 −2 2 4 6 8 10 0 S U V Triangle CDF on Ren's butterfly design has corners C(-5, 4), D(-1, 7) and F(-3, 1). Ren flips it across the y-axis. Where is D′? Write it like (7, -3).
Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. Triangle CDF is drawn with its three corners labeled; the image is not drawn. Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. Triangle CDF is drawn with its three corners labeled; the image is not drawn. −10 −8 −6 −4 −2 2 4 6 8 10 −10 −8 −6 −4 −2 2 4 6 8 10 0 C D F Triangle GHW on Tala's leaf design has corners G(2, -3), H(6, -7) and W(4, 2). Tala flips it across the y-axis. Where is H′? Write it like (7, -3).
Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. Triangle GHW is drawn with its three corners labeled; the image is not drawn. Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. Triangle GHW is drawn with its three corners labeled; the image is not drawn. −10 −8 −6 −4 −2 2 4 6 8 10 −10 −8 −6 −4 −2 2 4 6 8 10 0 G H W Triangle SUV on Zee's umbrella design has corners S(-8, -2), U(-4, 5) and V(-1, -6). Zee flips it across the y-axis. Where is U′? Write it like (7, -3).
Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. Triangle SUV is drawn with its three corners labeled; the image is not drawn. Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. Triangle SUV is drawn with its three corners labeled; the image is not drawn. −10 −8 −6 −4 −2 2 4 6 8 10 −10 −8 −6 −4 −2 2 4 6 8 10 0 S U V Ari's kite slides on a grid. Corner D moves from (2, 5) to (-1, 9). What is the slide's rule? Fill in (x, y) → (□, □), like x + 8, y - 1.
Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. Corner D(2, 5) and its image D′(-1, 9) are marked. Table old (x, y) | new (x, y): D(2, 5) | D′(-1, 9). Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. Corner D(2, 5) and its image D′(-1, 9) are marked. Table old (x, y) | new (x, y): D(2, 5) | D′(-1, 9). −10 −9 −8 −7 −6 −5 −4 −3 −2 −1 1 2 3 4 5 6 7 8 9 10 −10 −9 −8 −7 −6 −5 −4 −3 −2 −1 1 2 3 4 5 6 7 8 9 10 D D' 20 squares across (-10 to 10), origin in the middle. old (x, y) new (x, y) D(2, 5) D'(-1, 9) Bo's boat slides on a grid. Corner D moves from (-4, 1) to (2, -6). What is the slide's rule? Fill in (x, y) → (□, □), like x + 8, y - 1.
Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. Corner D(-4, 1) and its image D′(2, -6) are marked. Table old (x, y) | new (x, y): D(-4, 1) | D′(2, -6). Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. Corner D(-4, 1) and its image D′(2, -6) are marked. Table old (x, y) | new (x, y): D(-4, 1) | D′(2, -6). old (x, y) new (x, y) D(-4, 1) D'(2, -6) 20 squares across (-10 to 10) x y D(-4, 1) D'(2, -6) Esme's rocket slides on a grid. Corner D moves from (3, -2) to (8, 1). What is the slide's rule? Fill in (x, y) → (□, □), like x + 8, y - 1.
Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. Corner D(3, -2) and its image D′(8, 1) are marked. Table old (x, y) | new (x, y): D(3, -2) | D′(8, 1). Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. Corner D(3, -2) and its image D′(8, 1) are marked. Table old (x, y) | new (x, y): D(3, -2) | D′(8, 1). coordinate grid 20 squares across −10 −8 −6 −4 −2 2 4 6 8 10 −10 −9 −8 −7 −6 −5 −4 −3 −2 −1 1 2 3 4 5 6 7 8 9 10 D D' all four quadrants; origin in the middle Table old (x, y) new (x, y) D(3, -2) D'(8, 1)