Questions: Look at this shape: 1 Which image shows a translation?

Look at this shape:
1

Which image shows a translation?
Transcript text: Look at this shape: 1 $\square$ Which image shows a translation? $\square$
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Solution

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Solution Steps

Solution Approach

To determine which image shows a translation, we need to identify the image where the shape has been moved to a different position without rotation or resizing. We can use a simple comparison to check if the shape's position has changed while maintaining its orientation and size.

Step 1: Define Initial and New Positions

We start by defining the initial position of the shape as \((0, 0)\). The positions of the shapes in images A, B, and C are given as \((1, 0)\), \((0, 1)\), and \((1, 1)\) respectively.

Step 2: Check for Translation

A translation occurs if the shape's position changes while maintaining its orientation and size. We check if the new positions are different from the initial position.

Step 3: Determine Translation for Each Image
  • For Image A: The new position is \((1, 0)\), which is different from \((0, 0)\). Therefore, Image A shows a translation.
  • For Image B: The new position is \((0, 1)\), which is different from \((0, 0)\). Therefore, Image B shows a translation.
  • For Image C: The new position is \((1, 1)\), which is different from \((0, 0)\). Therefore, Image C shows a translation.

Final Answer

All images A, B, and C show a translation.

\[ \boxed{\text{A, B, and C}} \]

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