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

Question

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

Responses

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.

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 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.

Answer 1

Bot GPT 4-o mini answered
2 hours ago

The transformation that preserves both distance and angle measure is a rigid transformation, which includes actions such as translations (slides), rotations (turns), and reflections (flips).

In the described options, the second response discusses two equivalent triangles plotted in different positions (one in quadrant 1 and the other starting in quadrant 2). Since they are equivalent triangles, a rigid transformation (such as translation or rotation) can be identified between them without changing the angles or side lengths.

Hence, the correct choice would be the second option, where two equivalent triangles are plotted, as it demonstrates a transformation that preserves both distance and angle measures.