Construct Parallel Lines (3 ways)

Follow these steps to construct parallel lines by creating corresponding angles

1) Using the POINT TOOL, mark point H anywhere on segment FB [i](Hint: FH must be shorter than FG)[/i][br]2) Using the COMPASS TOOL, create a circle with radius FH and center point F[br]3) Using the POINT TOOL, mark point I at the intersection of circle F and segment FG[br]4) Using the COMPASS TOOL, create a circle with radius FH and center point G[br]5) Using the POINT TOOL, mark point J at the intersection of circle G and segment GC[br]6) Using the COMPASS TOOL, create a circle with radius HI and center point J[br]7) Using the SEGMENT TOOL, draw a segment from G to the intersection of circles G and J

Construction #1: Corresponding Angle Method

Follow these steps to construct parallel lines by creating congruent triangles

1) Using the COMPASS TOOL, create a circle with radius DG and center point F.[br]2) Using the POINT TOOL, mark point H at the rightmost intersection of circle F and segment AB.[br]3) Using the COMPASS TOOL, create a circle with radius CD and center point F.[br]4) Using the COMPASS TOOL, create a circle with radius CG and center point H.[br]5) Using the SEGMENT TOOL, draw a segment from C to the intersection of circles F and H.

Construction #2: Triangle Method

Follow these steps to construct parallel lines by creating a rhombus

1) Using the COMPASS TOOL, create a circle with radius CD and center point C.[br]2) Using the POINT TOOL, mark point F at the bottom right intersection of circle C and segment AB (the closest intersection to point B).[br]3) Using the COMPASS TOOL, create a circle with radius CF and center point F.[br]4) Using the POINT TOOL, mark point G at the intersection of circle F and segment AB.[br]5) Using the COMPASS TOOL, create a circle with radius CF and center point G[br]6) Using the POINT TOOL, mark point H at the intersection of circle G and circle C.[br]7) Using the SEGMENT TOOL, draw a segment from C to H.

Construction #3: Rhombus Method

Which method do you prefer?

Rhombus Method Corresponding Angle Method Triangle Method