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).
Kira slides a turtle sticker 6 units left and 4 units down on a game map. One corner, H, starts at (5, -1). Where does H′ 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 turtle sticker with corner H(5, -1) 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 turtle sticker with corner H(5, -1) 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 H 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 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 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) Read this first
Use this
Coordinate grid, all four quadrants, each square one unit, 20 squares across (-10 to 10), origin in the middle.
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 the x-axis
- a flip across the y-axis
- a flip across both axes, one after the other
Luz's car design moved on the grid. Corner D went from (3, 1) to (-2, 4), and F went from (5, -2) to (0, 1). 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 slide 5 units right and 3 units up
- a slide 3 units left and 5 units up
- a slide 5 units left and 3 units up
- a flip across the y-axis
Milo's bus design moved on the grid. Corner Q went from (-4, 3) to (2, 1), and S went from (-1, -2) to (5, -4). 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 Q, Q′, S and S′ 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 Q, Q′, S and S′ labeled. Q Q' S S' -10 0 10 -10 10 x y 1 unit - a slide 2 units right and 6 units down
- a slide 6 units left and 2 units down
- a flip across the x-axis
- a slide 6 units right and 2 units down