Similar shapes: a dilation plus moves
Grade 8 Math Worksheet
Circle the best answer, or write your answer on the line.
Ari dilates a kite sticker by 2 from the origin, then slides it 3 units right and 1 unit down. Where does corner D(2, 3) end? Write it like (7, -3).
Bo dilates a sled sticker by 3/2 from the origin, then slides it 2 units right and 4 units down. Where does corner D(-4, 6) end? Write it like (7, -3).
Esme dilates a plane sticker by 1/2 from the origin, then slides it 5 units left and 3 units up. Where does corner D(8, -4) end? Write it like (7, -3).
Jun slides a bike sticker 2 units right and 1 unit up, then dilates it by 2 from the origin. Where does corner D(1, 2) end? Write it like (7, -3).
Kira slides a turtle sticker 1 unit right and 2 units down, then dilates it by 3/2 from the origin. Where does corner D(5, -2) end? Write it like (7, -3).
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Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. Drawings A and B are both drawn. Table A | B: 9 | 6.
Drawing B is Pia's house drawing A, dilated and turned. A's side is 9 units; B's matching side is 6 units. What is the scale factor from A to B?
Ren compares two window cards. Card A is 4 by 6 units; card B is 6 by 9 units. Can a dilation and moves take A onto B?
- Yes: every side is multiplied by 3/2.
- Yes: every side grows by 2 units.
- No: the sides do not all grow by the same factor.
Tala compares two quilt cards. Card A is 6 by 9 units; card B is 4 by 6 units. Can a dilation and moves take A onto B?
- Yes: every side is multiplied by 2/3.
- Yes: every side shrinks by 2 units.
- No: the sides do not all grow by the same factor.
Esme's boat drawing A has sides 9 and 21 units. Drawing B is A dilated and slid. B's side matching 9 is 6 units. How long is B's side matching 21?
Jun's tent drawing A has sides 6 and 9 units. Drawing B is A dilated and slid. B's side matching 6 is 8 units. How long is B's side matching 9?