What are the steps to construct parallel lines using a compass and straightedge.

The first thing you do is draw a straight line. It can be any length. Then draw a point above the line. Place the stylus of the compass on the point, and swing the compass down to make two marks on the line. Then, draw marks below the line, by placing the stylus on the points of intersection. Draw a line from where these two meet to the original point.Mark two points on the 2nd line by placing the compass stylus on the original dot, and swinging it down and up. Then, swing the compass from both of these new points of intersection , on either side of the line, to form 2 new points.Connect these 3 points, and now you have 2 parallel lines! The original line and the most recently made are parallel with each other. Hope this helps!

98 points djdjsi zisksis sjsjsi sisksj sksjdj sksks sjsisj

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4