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Monica [59]
3 years ago
5

How many ways can a rectangle be reflected across an axis of symmetry so that it carries onto itself?

Mathematics
2 answers:
anastassius [24]3 years ago
8 0
I believe the correct answer from the choices listed above is option B. A rectangle can be reflected across an axis of symmetry so that it carries onto itself twice. <span>Rectangles are geometric shapes with </span>two lines<span> of symmetry. One line of symmetry divides a rectangle in half horizontally, and the other line divides the shape in half vertically.</span>
Reptile [31]3 years ago
4 0

Rectangle has two axes of symmetry (see attached diagram).

So an arbitrary rectangle can be reflected across two axis of symmetry so that it carries onto itself.

Answer: correct choice is B.

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The triangles PTQ and RTS are similar; so the ratios of corresponding sides are equal.

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Cross multiply to obtain;

\begin{gathered} 30(60+x)=60(35) \\ 1800+30x=2100 \\ \text{collect like terms} \\ 30x=2100-1800 \\ 30x=300 \\ \text{divide both sides by 30} \\ \frac{30x}{30}=\frac{300}{30} \end{gathered}

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