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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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Gamepad Controls
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SNAPSHOTS
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
High School Geometry
High School Mathematics
Browse all topics
Related Curriculum Standards
US Common Core State Standards, Mathematics
HSG-CO.D.12
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