Question

Consider the transformation shown. 2 triangles are shown. The first is labeled pre-image and the second is labeled image. Both triangles have congruent angle measures. The pre-image has side lengths of 6, 10, and 8. The image has side lengths of 3, 5, and 4. Use the drop-down menus to complete the sentence. The transformation is because the

Answer 1

Dilation

Explanation:

Given: The first triangle has side lengths of 6, 10, 8 and the second triangle has side lengths of 3, 5, 4 such that these two right triangles have identical angle measures but different side lengths.

To choose: the correct option

Dilation refers to a transformation when a figure is reduced or enlarged.

Each side of the large triangle is halved to get the small triangle.

So, Dilation transformation maps the large triangle onto the small triangle

Answer 2

Based on the information you provided, it seems the transformation is a rotation because the angle measures are preserved.

Here's the reasoning:

- Both triangles have the same angles, as indicated by the congruent angle symbols.

- The side lengths change proportionally between the pre-image and the image, but the ratios of corresponding sides remain the same. This is a characteristic of rotations.

- Rotations do not change the shapes of figures, only their orientations. The overall shape of the triangles remains the same, even though their sizes differ.

Therefore, the transformation is most accurately described as a rotation that preserves the angle measures.

The probable question may be:

Consider the transformation shown. 2 triangles are shown. The first is labeled pre-image and the second is labeled image. Both triangles have congruent angle measures. The pre-image has side lengths of 6, 10, and 8. The image has side lengths of 3, 5, and 4. Use the drop-down menus to complete the sentence. The transformation is ____ because the _____ are preserved.