Alice is designing a book shelf. The segment LQ represents the base of the book shelf. Alice wants to construct a line to represent a rack passing through R and parallel to side LQ. She uses a straight edge and compass to complete some steps of the construction. Which of these is likely to be her next step in constructing the rack parallel to LQ?

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skylerhenderson49031 skylerhenderson49031

18-11-2022
Mathematics

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Alice is designing a book shelf. The segment LQ represents the base of the book shelf. Alice wants to construct a line to represent a rack passing through R and parallel to side LQ. She uses a straight edge and compass to complete some steps of the construction. Which of these is likely to be her next step in constructing the rack parallel to LQ?

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smecloudbird17 smecloudbird17 · Answer 1 · 2022-11-23T08:03:35+01:00

Alice is designing a book shelf. LQ is the base of the book shelf. Alice wants to construct a line to represent a rack passing through R and parallel to side LQ. She uses a straight edge and compass to complete some steps of the construction. The next step in constructing the rack parallel to LQ is placing its compass at S and adjusting its width to the point P.

The remaining steps to complete construction are as follows.

The next step for Alice is to place the compass at S and adjust its width to point P.

Then, without changing the width, place the compass at point T and draw an arc by cutting the previous arc. The new point is said to be U.

With the help of straightedge, join the points U and R.

The required line is RU, that passes through R and parallel to LQ.

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