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 (Hint: FH must be shorter than FG)
2) Using the COMPASS TOOL, create a circle with radius FH and center point F
3) Using the POINT TOOL, mark point I at the intersection of circle F and segment FG
4) Using the COMPASS TOOL, create a circle with radius FH and center point G
5) Using the POINT TOOL, mark point J at the intersection of circle G and segment GC
6) Using the COMPASS TOOL, create a circle with radius HI and center point J
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.
2) Using the POINT TOOL, mark point H at the rightmost intersection of circle F and segment AB.
3) Using the COMPASS TOOL, create a circle with radius CD and center point F.
4) Using the COMPASS TOOL, create a circle with radius CG and center point H.
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.
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).
3) Using the COMPASS TOOL, create a circle with radius CF and center point F.
4) Using the POINT TOOL, mark point G at the intersection of circle F and segment AB.
5) Using the COMPASS TOOL, create a circle with radius CF and center point G
6) Using the POINT TOOL, mark point H at the intersection of circle G and circle C.
7) Using the SEGMENT TOOL, draw a segment from C to H.
Construction #3: Rhombus Method
Which method do you prefer?
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- A
- B
- C