CD Tesis
Bisektor Dan Trisektor Sudut Pada Segiempat Saling Silang
ABSTRACT
MARDANI FITRA. 2210246883, Angle Bisector and Angle Trisector in
Intersecting Quadrilaterals, Supervised by Mashadi and Sri Gemawati.
This thesis discusses the study of geometry on intersecting quadrilaterals, par-
ticularly regarding the construction and properties of angle bisectors and angle
trisectors. The main focus of this research is to determine the lengths of the angle
bisectors and angle trisectors in intersecting quadrilaterals. Additionally, the the-
sis explores cyclic quadrilaterals that can be formed from the intersection points
resulting from these constructions. Two approaches are used in the formation of
cyclic quadrilaterals. The rst approach involves constructing the angle bisectors
at all four corners of the intersecting quadrilateral, which yields four intersection
points forming a cyclic quadrilateral. The second approach uses the angle tri-
sectors to generate several intersection points, also forming cyclic quadrilaterals.
Furthermore, this research utilizes GeoGebra 6.0 software to dynamically and
interactively illustrate the angle bisectors and angle trisectors. Several problems
related to the angle bisectors and trisectors are also included as enrichment and
application of the concepts. The results of this study are expected to contri-
bute to the eld of geometry, particularly in the construction and properties of
intersecting quadrilaterals.
Keywords: intersecting quadrilateral, angle bisector, angle trisector, cyclic qu-
adrilateral, GeoGebra
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