Translation Worksheets | Grade1to6.com - Free Printable

Since the user options are all set to false, I will not include Explanation, TeachTopic, or GeneratePractice sections. I will proceed directly to providing the final answer based on solving the translation problems shown in the worksheet.

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Let’s solve each translation problem step by step.

Problem 1: Translations: 4 right

Original shape: Triangle with vertices at approximately (-5, -4), (-3, -4), and (-4, -3)

Translation: Move 4 units to the right → add 4 to each x-coordinate.

New coordinates:
- (-5 + 4, -4) = (-1, -4)
- (-3 + 4, -4) = (1, -4)
- (-4 + 4, -3) = (0, -3)

Plot these new points and draw the triangle.

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Problem 2: Translations: 3 right and 2 down

Original shape: Square with corners at (-4, 4), (-3, 4), (-3, 3), (-4, 3)

Translation: Add 3 to x, subtract 2 from y.

New coordinates:
- (-4 + 3, 4 - 2) = (-1, 2)
- (-3 + 3, 4 - 2) = (0, 2)
- (-3 + 3, 3 - 2) = (0, 1)
- (-4 + 3, 3 - 2) = (-1, 1)

Plot these and draw the square.

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Problem 3: Translations: 3 left

Original shape: Hexagon centered around (4, 2.5). Let’s take key points:

Approximate vertices: (3, 2), (4, 1.5), (5, 2), (5, 3), (4, 3.5), (3, 3)

Translation: Subtract 3 from each x-coordinate.

New coordinates:
- (3 - 3, 2) = (0, 2)
- (4 - 3, 1.5) = (1, 1.5)
- (5 - 3, 2) = (2, 2)
- (5 - 3, 3) = (2, 3)
- (4 - 3, 3.5) = (1, 3.5)
- (3 - 3, 3) = (0, 3)

Plot and connect to form hexagon.

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Problem 4: Translations: 4 right and 3 down

Original shape: L-shaped figure. Let’s find its corners.

It spans from x = -5 to x = -2, y = 2 to y = 5.

Key points:
- Bottom-left: (-5, 2)
- Top-left of bottom part: (-5, 3)
- Top-right of bottom part: (-2, 3)
- Top-right of top part: (-2, 5)
- Top-left of top part: (-3, 5)
- Bottom-left of top part: (-3, 3)

Wait — actually, looking again:

The shape has:
- A vertical rectangle from x=-5 to x=-3, y=2 to y=3 → height 1, width 2
- A horizontal rectangle on top from x=-3 to x=-2, y=3 to y=5 → height 2, width 1

So corner points:
A: (-5, 2)
B: (-3, 2)
C: (-3, 3)
D: (-2, 3)
E: (-2, 5)
F: (-3, 5)
G: (-3, 3) ← already listed
H: (-5, 3)

Actually, let’s list unique outer corners:

Start at (-5,2) → go up to (-5,3) → right to (-3,3) → up to (-3,5) → right to (-2,5) → down to (-2,3) → left to (-3,3) → down to (-3,2) → left to (-5,2)

But for translation, we can just move all points.

Apply: +4 to x, -3 to y.

New points:
(-5+4, 2-3) = (-1, -1)
(-5+4, 3-3) = (-1, 0)
(-3+4, 3-3) = (1, 0)
(-2+4, 3-3) = (2, 0)
(-2+4, 5-3) = (2, 2)
(-3+4, 5-3) = (1, 2)
(-3+4, 3-3) = (1, 0) ← duplicate
(-5+4, 3-3) = (-1, 0) ← duplicate

So plot: (-1,-1), (-1,0), (1,0), (2,0), (2,2), (1,2)

Connect them to recreate the L-shape.

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Final Answer:
For each graph, redraw the shape by moving every point according to the given translation:
- First graph: shift triangle 4 units right.
- Second graph: shift square 3 right and 2 down.
- Third graph: shift hexagon 3 units left.
- Fourth graph: shift L-shape 4 right and 3 down.

(No numerical answer is expected — this is a drawing task. The correct response is to have drawn the translated shapes accurately on each grid.)