To solve these translation problems, we need to move each point of the green shape according to the instructions. Remember:
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Right means adding to the x-coordinate (moving right on the grid).
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Left means subtracting from the x-coordinate (moving left on the grid).
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Up means adding to the y-coordinate (moving up on the grid).
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Down means subtracting from the y-coordinate (moving down on the grid).
Let's find the new coordinates for the vertices (corners) of each shape.
1) Translation: 3 right
* Original vertices: $(-2, -1)$, $(-2, -5)$, $(0, -5)$.
* Move 3 units right: Add 3 to the x-coordinates.
* $(-2 + 3, -1) \rightarrow (1, -1)$
* $(-2 + 3, -5) \rightarrow (1, -5)$
* $(0 + 3, -5) \rightarrow (3, -5)$
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New Vertices: $(1, -1), (1, -5), (3, -5)$
2) Translation: 2 right and 3 down
* Original vertices: $(-4, 4)$, $(-1, 4)$, $(-2, 2)$, $(-4, 2)$.
* Move 2 right (add 2 to x) and 3 down (subtract 3 from y).
* $(-4 + 2, 4 - 3) \rightarrow (-2, 1)$
* $(-1 + 2, 4 - 3) \rightarrow (1, 1)$
* $(-2 + 2, 2 - 3) \rightarrow (0, -1)$
* $(-4 + 2, 2 - 3) \rightarrow (-2, -1)$
*
New Vertices: $(-2, 1), (1, 1), (0, -1), (-2, -1)$
3) Translation: 5 left
* Original vertices: $(1, -2)$, $(4, -3)$, $(4, -5)$.
* Move 5 units left: Subtract 5 from the x-coordinates.
* $(1 - 5, -2) \rightarrow (-4, -2)$
* $(4 - 5, -3) \rightarrow (-1, -3)$
* $(4 - 5, -5) \rightarrow (-1, -5)$
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New Vertices: $(-4, -2), (-1, -3), (-1, -5)$
4) Translation: 4 left and 3 down
* Original vertices: $(2, 5)$, $(4, 5)$, $(4, 3)$, $(5, 3)$, $(5, 1)$, $(2, 1)$.
* Move 4 left (subtract 4 from x) and 3 down (subtract 3 from y).
* $(2 - 4, 5 - 3) \rightarrow (-2, 2)$
* $(4 - 4, 5 - 3) \rightarrow (0, 2)$
* $(4 - 4, 3 - 3) \rightarrow (0, 0)$
* $(5 - 4, 3 - 3) \rightarrow (1, 0)$
* $(5 - 4, 1 - 3) \rightarrow (1, -2)$
* $(2 - 4, 1 - 3) \rightarrow (-2, -2)$
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New Vertices: $(-2, 2), (0, 2), (0, 0), (1, 0), (1, -2), (-2, -2)$
5) Translation: 4 left and 5 down
* Original vertices: $(1, 1)$, $(3, 1)$, $(4, 3)$, $(1, 3)$.
* Move 4 left (subtract 4 from x) and 5 down (subtract 5 from y).
* $(1 - 4, 1 - 5) \rightarrow (-3, -4)$
* $(3 - 4, 1 - 5) \rightarrow (-1, -4)$
* $(4 - 4, 3 - 5) \rightarrow (0, -2)$
* $(1 - 4, 3 - 5) \rightarrow (-3, -2)$
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New Vertices: $(-3, -4), (-1, -4), (0, -2), (-3, -2)$
6) Translation: 3 right and 4 up
* Original vertices: $(-1, -1)$, $(-3, -2)$, $(-1, -3)$.
* Move 3 right (add 3 to x) and 4 up (add 4 to y).
* $(-1 + 3, -1 + 4) \rightarrow (2, 3)$
* $(-3 + 3, -2 + 4) \rightarrow (0, 2)$
* $(-1 + 3, -3 + 4) \rightarrow (2, 1)$
*
New Vertices: $(2, 3), (0, 2), (2, 1)$
Final Answer:
1) New Vertices:
(1, -1), (1, -5), (3, -5)
2) New Vertices:
(-2, 1), (1, 1), (0, -1), (-2, -1)
3) New Vertices:
(-4, -2), (-1, -3), (-1, -5)
4) New Vertices:
(-2, 2), (0, 2), (0, 0), (1, 0), (1, -2), (-2, -2)
5) New Vertices:
(-3, -4), (-1, -4), (0, -2), (-3, -2)
6) New Vertices:
(2, 3), (0, 2), (2, 1)
Parent Tip: Review the logic above to help your child master the concept of transformation worksheet pdf.
