Mathematics
Long496
38

An architect plans to draw a rectangular patio with segment LM representing one side of the rectangle. He wants to construct a line passing through Q and parallel to side LM. He uses a straightedge and compass to complete some steps of the construction, as shown below: Which of these is likely to be his next step in constructing the parallel line? Without changing the width of the compass, place the compass at Q and draw an arc similar to the one drawn. Place the compass at N and adjust the width to the widest point on arc PS. Without changing the width of the compass, place the compass at S or P and draw an arc similar to the one drawn. Place the compass at N and adjust the width to a length that is greater than the length of segment NS.

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(1) Answers
LongScherer

your next step would be: Without changing the width of the compass, place the compass at Q and draw an arc similar to the one drawn. What you are doing is using alternate interior angles to be equal between parallel lines,

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