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