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Angle Bisectors of Two Intersecting Lines
This Demonstration plots the graphs of the equations of two lines in the form
,
, along with their two angle bisectors if the lines intersect.
Contributed by:
Abraham Gadalla
THINGS TO TRY
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DETAILS
If the lines intersect, the point of intersection is
.
The equations of the angle bisectors are obtained by solving
.
The slope of the angle bisector in terms of the slope of the two lines
and
is
.
The slope of the perpendicular to the angle bisector is
.
Note that
.
The equation of the angle bisector in point-slope form is
and the equation of the perpendicular to the angle bisector at the point of intersection is
.
RELATED LINKS
Angle Bisector
(
Wolfram
MathWorld
)
Intersecting Lines
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Angle Bisectors of Two Intersecting Lines
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/AngleBisectorsOfTwoIntersectingLines/
Contributed by:
Abraham Gadalla
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Related Topics
Analytic Geometry
Plane Geometry
High School Algebra II and Trigonometry
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Related Curriculum Standards
US Common Core State Standards, Mathematics
HSG-CO.D.12