Question

Suppose a hexagonal traffic sign is dilated by a scale factor of 2.5 about its center. Which statement is true? A. The dilated sign will have corresponding line segments that are congruent to those of the pre-image and corresponding angles that are proportional to that of the pre-image. B. The dilated sign will have corresponding line segments that are proportional to those of the pre-image and corresponding angles that are congruent to that of the pre-image. C. The dilated sign will have corresponding line segments and angles that are congruent to those of the pre-image. D. The dilated sign will have corresponding line segments and angles that are proportional to the pre-image but not congruent

Answer 1

Hexagonal implies that the traffic sign has six straight sides. But dilating it changes its length of sides, but not its angles. So that the statement that is true is option B.

i.e B. The dilated sign will have corresponding line segments that are proportional to those of the pre-image and corresponding angles that are congruent to that of the pre-image.

Dilation involves increasing or decreasing the line segments of a given shape by a scale factor. This process do not affect the measure of the internal angles of the shape.

Given a hexagonal traffic sign in the question, this implies that the traffic sign has six sides. Dilating it by a scale factor of 2.5 about its center would affect its length of sides. So that the statement that is true is option B.

i.e B. The dilated sign will have corresponding line segments that are proportional to those of the pre-image and corresponding angles that are congruent to that of the pre-image.

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