Which graph demonstrates a transformation that preserves both distance and angle measure?(1 point)

Question

Responses there is only one correct answer and eliminate the rest that are false

Two squares, a smaller one inside a larger one, are plotted in quadrant 1 of a coordinate plane. The smaller square shares a vertex and two of its sides with parts of two sides of the larger square. The x- and y-axis both range from 0 to 8 in increments of 1.
Image with alt text: Two squares, a smaller one inside a larger one, are plotted in quadrant 1 of a coordinate plane. The smaller square shares a vertex and two of its sides with parts of two sides of the larger square. The x- and y-axis both range from 0 to 8 in increments of 1.

Two equivalent triangles are plotted on a coordinate plane, one in quadrant 1 and one that starts in quadrant 2 and crosses into quadrant 1. The x-axis ranges from negative 4 to 7 in increments of 1, and the y-axis ranges from 0 to 7 in increments of 1. A line connects a vertex of the triangle in quadrant 2 to the matching vertex of the triangle in quadrant 1.
Image with alt text: Two equivalent triangles are plotted on a coordinate plane, one in quadrant 1 and one that starts in quadrant 2 and crosses into quadrant 1. The x-axis ranges from negative 4 to 7 in increments of 1, and the y-axis ranges from 0 to 7 in increments of 1. A line connects a vertex of the triangle in quadrant 2 to the matching vertex of the triangle in quadrant 1.

Two triangles of different sizes are plotted on a coordinate plane. The x-axis ranges from negative 4 to 8 in increments of 1, and the y-axis ranges from negative 4 to 10 in increments of 1.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 alt text: Two triangles of different sizes are plotted on a coordinate plane. The x-axis ranges from negative 4 to 8 in increments of 1, and the y-axis ranges from negative 4 to 10 in increments of 1.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 rectangles, a smaller one inside a larger one, are plotted around the origin on a coordinate plane. The x-axis ranges from negative 3 to 3 in increments of 1. The y-axis ranges from negative 3 to 5 in increments of 1.
Image with alt text: Two rectangles, a smaller one inside a larger one, are plotted around the origin on a coordinate plane. The x-axis ranges from negative 3 to 3 in increments of 1. The y-axis ranges from negative 3 to 5 in increments of 1.
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Answer 1

The graph that demonstrates a transformation that preserves both distance and angle measure is the first option: Two squares, a smaller one inside a larger one, are plotted in quadrant 1 of a coordinate plane. This represents a similarity transformation (specifically, a dilation) that preserves the properties of the squares in terms of the angles and the ratios of the sides.

The other options involve transformations that change distances or angles in some way, such as translations or resizing that do not maintain the same shape and size (like in triangles of different sizes), making them incorrect choices for preserving both distance and angle measure.