Translations - from Words | PDF printable Geometry Worksheets - Free Printable

Let’s go step by step to describe each translation in words. Remember: Shape A is the original (gray shape), and we’re describing how it moves to become the colored shape.

We’ll count squares on the grid — up/down for vertical, left/right for horizontal.

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1)
Shape A (gray rectangle) → orange rectangle
It moved right. How many squares? Let’s count from the right edge of A to the left edge of orange: 5 squares.
→ Translate 5 units right

2)
Shape A (top gray rectangle) → bottom orange rectangle
It moved down. Count from bottom of A to top of orange: 6 squares down.
→ Translate 6 units down

3)
Shape A (top gray rectangle) → bottom orange rectangle
It moved down. From bottom of A to top of orange: 4 squares down.
→ Translate 4 units down

4)
Shape A (left gray rectangle) → right blue rectangle
Moved right and up.
Right: from right edge of A to left edge of blue = 7 squares
Up: from top of A to bottom of blue = 3 squares
→ Translate 7 units right and 3 units up

5)
Shape A (right diamond) → left blue diamond
Wait — actually, looking again: Shape A is the *original*, which is the gray one. In #5, the gray diamond is labeled “A” and is on the right. The blue one is the image. So we move from gray (A) to blue.
From gray diamond to blue diamond:
Left: 5 squares
Up: 2 squares
→ Translate 5 units left and 2 units up

*(Note: Sometimes students get confused about direction — always start at A and see where it goes to match the colored shape.)*

6)
Shape A (gray L-shape) → blue L-shape
Moved right and down.
Right: from rightmost point of A to leftmost point of blue = 4 squares
Down: from bottom of A to top of blue = 3 squares
→ Translate 4 units right and 3 units down

7)
Shape A (bottom gray triangle) → top green triangle
Moved up and left.
Up: from top of A to bottom of green = 8 squares
Left: from right tip of A to left tip of green = 5 squares
→ Translate 5 units left and 8 units up

8)
Shape A (gray star) → green star
They overlap slightly, but let’s pick a matching point — say, the top point of the star.
Gray star’s top point → green star’s top point:
Right: 3 squares
Down: 1 square
→ Translate 3 units right and 1 unit down

9)
Shape A (gray quarter-circle) → green quarter-circle
Moved right and down.
Right: from right edge of A to left edge of green = 5 squares
Down: from bottom of A to top of green = 5 squares
→ Translate 5 units right and 5 units down

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Now, let’s write all answers clearly:

Final Answer:
1) Translate 5 units right
2) Translate 6 units down
3) Translate 4 units down
4) Translate 7 units right and 3 units up
5) Translate 5 units left and 2 units up
6) Translate 4 units right and 3 units down
7) Translate 5 units left and 8 units up
8) Translate 3 units right and 1 unit down
9) Translate 5 units right and 5 units down