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).
Jun slides a plane sticker 7 units right and 2 units up on a game map. One corner, G, starts at (-3, -6). Where does G′ 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 airplane sticker with corner G(-3, -6) 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 airplane sticker with corner G(-3, -6) marked; the image is not drawn. Coordinate grid, all four quadrants, each square one unit, 20 squares across, origin in the middle. The airplane sticker; the image is not drawn. −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 G 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 GHQ on Noah's tent design has corners G(-2, 3), H(-6, 1) and Q(-3, -4). Noah flips it across the x-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 GHQ 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 GHQ 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 Q 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 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) Read this first
Use this
Coordinate grid, all four quadrants, each square one unit, 20 squares across (-10 to 10), origin in the middle.
Jun's umbrella design moved on the grid. Corner D went from (4, 2) to (4, -2), and F went from (-1, 5) to (-1, -5). Which move was it?
Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. The design and its image are both drawn, with D, D′, F and F′ labeled. Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. The design and its image are both drawn, with D, D′, F and F′ labeled. -10 0 10 10 -10 x y D F D' F' D F D' F' D F D' F' - a flip across the x-axis
- a flip across the y-axis
- a slide 4 units down
- a flip across both axes, one after the other
Kira's crown design moved on the grid. Corner G went from (3, -1) to (-3, -1), and H went from (6, 2) to (-6, 2). Which move was it?
Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. The design and its image are both drawn, with G, G′, H and H′ labeled. Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. The design and its image are both drawn, with G, G′, H and H′ labeled. x y G H G' H' - a slide 6 units left
- a flip across both axes, one after the other
- a flip across the y-axis
- a flip across the x-axis