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Andrej [43]
3 years ago
11

Suppose a hexagonal traffic sign is dilated by a scale factor of 2.5 about its center. Which statement is true? A. The dilated s

ign 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
Mathematics
1 answer:
xeze [42]3 years ago
4 0

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

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

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

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

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

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