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Using Properties of Parallel Lines

Using Properties of Parallel Lines 1.3 - Solution

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When drawing a line through a point parallel to given line, we choose a point QQ on line LL and draw a line from QQ to TT using a straightedge.

Next, we draw two arcs. The first arc (1.1.) we draw crosses QT\overleftrightarrow{QT} and the line L.L. The second arc (2.2.) we draw with center TT and using the same compass setting.

Next, we use the compass to measure the arc (1.1.) between AA and B.B. Keeping that compass setting, we measure the same arc (2.2.) from CC to point DD which has been labeled below.

Finally, we draw a line through TT and D.D. This line is parallel to L.L.