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Mathematics 21 Online
OpenStudy (godlovesme):

helpp will medal

OpenStudy (godlovesme):

wait @acxbox22

OpenStudy (godlovesme):

An architect plans to draw a rectangular patio with segment LM representing one side of the rectangle

OpenStudy (acxbox22):

yes i am here

OpenStudy (godlovesme):

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:

OpenStudy (godlovesme):

a. Without changing the width of the compass, place the compass at Q and draw an arc similar to the one drawn.

OpenStudy (godlovesme):

b. Place the compass at N and adjust the width to the widest point on arc PS.

OpenStudy (godlovesme):

c. Without changing the width of the compass, place the compass at S or P and draw an arc similar to the one drawn.

OpenStudy (godlovesme):

d. Place the compass at N and adjust the width to a length that is greater than the length of segment NS.

OpenStudy (acxbox22):

where is q? and do you have a picture?

OpenStudy (godlovesme):

im attaching the pic @acxbox22

OpenStudy (godlovesme):

OpenStudy (godlovesme):

@acxbox22 sorry for taking so long it won't let me attach the pic :/

OpenStudy (acxbox22):

sorry but i am not good with compasses :(

OpenStudy (godlovesme):

its fine thx though :) @Directrix @Nnesha

Directrix (directrix):

What is the question? I see the steps the architect takes in the construction with compass and straightedge. But, what is the question about this?

OpenStudy (godlovesme):

here sorry :/ which of these is likely to be his next step in constructing the parallel line?

Directrix (directrix):

Well, he's copying <N so that the angle he makes at Q will be congruent to <N. Then, there will be two congruent corresponding angles and the lines will be parallel.

Directrix (directrix):

The options are "sketchy." This may be a guessing game but I'll read through the options again. You do that. too.

OpenStudy (godlovesme):

i was thinking of a or B

Directrix (directrix):

I cranked out the construction. The next step should be to put the compass on point Q and swing an arc the same width as arc PS. Which option matches that?

Directrix (directrix):

That sounds like option A to me. What do you think?

OpenStudy (godlovesme):

A

Directrix (directrix):

That is my best idea of an answer for this. @Godlovesme

OpenStudy (godlovesme):

thanks u so much i really appreciate ur help :)

Directrix (directrix):

You are welcome, as always.

OpenStudy (godlovesme):

:)))))

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