Question
Which graph demonstrates a transformation that preserves both distance and angle measure?(1 point)
Responses
Two triangles of different sizes are plotted on a coordinate plane. The larger triangle is plotted around the origin and extends into all four quadrants, and the smaller triangle extends between quadrants 1 and 2.
Image with description Two triangles of different sizes are plotted on a coordinate plane. The larger triangle is plotted around the origin and extends into all four quadrants, and the smaller triangle extends between quadrants 1 and 2.
Two triangles are plotted on a coordinate plane. One of them is in quadrant 1 and the other starts in quadrant 2 and crosses into quadrant 1.
Image with description Two triangles are plotted on a coordinate plane. One of them is in quadrant 1 and the other starts in quadrant 2 and crosses into quadrant 1.
The graph on the coordinate plane shows two squares, a smaller one inside a larger one, plotted in quadrant 1.
Image with description The graph on the coordinate plane shows two squares, a smaller one inside a larger one, plotted in quadrant 1.
The graph on the coordinate plane shows two squares, a smaller one inside a larger one, plotted in quadrant 1.
Image with description The graph on the coordinate plane shows two squares, a smaller one inside a larger one, plotted in quadrant 1.
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Responses
Two triangles of different sizes are plotted on a coordinate plane. The larger triangle is plotted around the origin and extends into all four quadrants, and the smaller triangle extends between quadrants 1 and 2.
Image with description Two triangles of different sizes are plotted on a coordinate plane. The larger triangle is plotted around the origin and extends into all four quadrants, and the smaller triangle extends between quadrants 1 and 2.
Two triangles are plotted on a coordinate plane. One of them is in quadrant 1 and the other starts in quadrant 2 and crosses into quadrant 1.
Image with description Two triangles are plotted on a coordinate plane. One of them is in quadrant 1 and the other starts in quadrant 2 and crosses into quadrant 1.
The graph on the coordinate plane shows two squares, a smaller one inside a larger one, plotted in quadrant 1.
Image with description The graph on the coordinate plane shows two squares, a smaller one inside a larger one, plotted in quadrant 1.
The graph on the coordinate plane shows two squares, a smaller one inside a larger one, plotted in quadrant 1.
Image with description The graph on the coordinate plane shows two squares, a smaller one inside a larger one, plotted in quadrant 1.
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Answers
Answered by
GPT-4o mini
The transformation that preserves both distance and angle measure is known as an isometry. An isometry includes transformations such as translations, rotations, and reflections.
Among the options provided, the best candidate would be the graph that shows two squares, a smaller one inside a larger one, plotted in quadrant 1. This scenario suggests that the smaller square is a scaled-down version of the larger square, which maintains angles and distances (the smaller square is congruent to the larger one, but at a different scale).
Thus, the correct answer that demonstrates a transformation that preserves both distance and angle measure is:
**The graph on the coordinate plane shows two squares, a smaller one inside a larger one.**
Among the options provided, the best candidate would be the graph that shows two squares, a smaller one inside a larger one, plotted in quadrant 1. This scenario suggests that the smaller square is a scaled-down version of the larger square, which maintains angles and distances (the smaller square is congruent to the larger one, but at a different scale).
Thus, the correct answer that demonstrates a transformation that preserves both distance and angle measure is:
**The graph on the coordinate plane shows two squares, a smaller one inside a larger one.**