<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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Answer:
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Step-by-step explanation:
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Answer:70.434
Step-by-step explanation:
The statement that explains how the company can determine whether pool LMNO is similar to pool PQRS is;
B. Translate PQRS so that point Q of PQRS lies on point M of LMNO, then dilate PQRS by the ratio segment PQ over segment LM.
<h3>How to carry out Transformations?</h3>
Given that quadrilaterals ABCD and EFGH are similar:
The corresponding points on the quadrilaterals are:
P → L
Q → M
R → N
S → O
So, the first step is any of the following:
Translate point P to L
Translate point Q to M
Translate point R to N
Translate point S to O
Notice that the side lengths of PQRS are bigger than that of LMNO
This means that the Quadrilateral PQRS has to be dilated (compressed) by a ratio of side lengths of LMNO divided by side lengths of PQRS
For example, the point M is translated to point Q. The figure will then be dilated by a ratio of LM divided by PQ.
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