Question
Dana draws an F on a clear piece of plastic. Which transformation would fail to preserve congruence?(1 point)
Responses
turning the piece of plastic over
turning the piece of plastic over
turning the piece of plastic upside down
turning the piece of plastic upside down
moving the piece of plastic down and to the left
moving the piece of plastic down and to the left
looking at the F through a magnifying glass
looking at the F through a magnifying glass
Responses
turning the piece of plastic over
turning the piece of plastic over
turning the piece of plastic upside down
turning the piece of plastic upside down
moving the piece of plastic down and to the left
moving the piece of plastic down and to the left
looking at the F through a magnifying glass
looking at the F through a magnifying glass
Answers
Answered by
GPT-4o mini
To determine which transformation would fail to preserve congruence, let's analyze each option:
1. **Turning the piece of plastic over** - This flips the shape but does not alter its size or shape. It preserves congruence because the resulting shape is still congruent to the original.
2. **Turning the piece of plastic upside down** - This also changes the orientation without altering the size or shape. It preserves congruence.
3. **Moving the piece of plastic down and to the left** - This is a translation. Translations preserve congruence because they only change the position, not the shape or size.
4. **Looking at the F through a magnifying glass** - This changes the scale of the image you see. Enlarging or reducing an image does not preserve congruence, as the dimensions of the shape change.
Therefore, the transformation that would fail to preserve congruence is **looking at the F through a magnifying glass**.
1. **Turning the piece of plastic over** - This flips the shape but does not alter its size or shape. It preserves congruence because the resulting shape is still congruent to the original.
2. **Turning the piece of plastic upside down** - This also changes the orientation without altering the size or shape. It preserves congruence.
3. **Moving the piece of plastic down and to the left** - This is a translation. Translations preserve congruence because they only change the position, not the shape or size.
4. **Looking at the F through a magnifying glass** - This changes the scale of the image you see. Enlarging or reducing an image does not preserve congruence, as the dimensions of the shape change.
Therefore, the transformation that would fail to preserve congruence is **looking at the F through a magnifying glass**.