Which image shows a translation?
Understand the Problem
The question is asking which of the three images (A, B, or C) shows a translation of the shape presented. A translation in geometry refers to moving a shape from one position to another without altering its size or orientation.
Answer
A
Answer for screen readers
The correct answer is A.
Steps to Solve
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Identify the Original Shape The original shape is the green triangle depicted on the grid in the first image.
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Understand Translations A translation moves a shape without rotating or flipping it. The new position of the shape must retain its original orientation and size but appear in a different location on the grid.
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Analyze Each Option
- For Image A, check if the triangle has moved. If it looks the same and just shifted, it represents a translation.
- For Image B, determine if the triangle's position, orientation, or size has changed.
- For Image C, apply the same checks as above.
- Select the Correct Image Choose the image that maintains the shape's size and orientation while being in a different location.
The correct answer is A.
More Information
In geometry, translations are rigid motions, meaning the shape does not change in size or orientation, merely its location. In this case, Image A shows the triangle translated to a new position while retaining its original properties.
Tips
Common mistakes include:
- Assuming that any movement represents a translation, instead of checking for size and orientation changes.
- Confusing translations with rotations or reflections, which do alter orientation.
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