5.2 Bisectors in Triangles
Can you figure out the puzzle below???
1
A hole in one.
Do you know how many dimples are on a regulation golf ball?
336
Perpendicular Bisectors
Find the equation of all 3 midsegments – leave answers in fraction
form
Perpendicular Bisectors
C
A
D
CD is a perpendicular
bisector of AB
B
Theorem 5-2: Perpendicular Bisector Theorem: If a point is on a
perpendicular bisector of a segment, then it is equidistant from the
endpoints of the segment.
Theorem 5-3: Converse of the Perpendicular Bisector Theorem:
If a point is equidistant from the endpoints of a segment, then it is on
the perpendicular bisector of the segment.
Perpendicular Bisectors
Find CA and DB. Explain your reasoning.
Find the value of x, HI, and JI
Classify the triangle.
Perpendicular Bisectors
Write an equation for the perpendicular bisector of CD.
C (-2,-3), D( 3,5)
1
1
Write an equation of the perpendicular bisector of AB.
A(1, -1), B(3, 3)
1
1
Distance
How can we find the distance from point A to line BC.
A
C
B
Distance from a Point to a Line: The length of the perpendicular
segment from the point to the line.
Angle Bisectors
AD is a bisector of CAB
C
D

A
B
Theorem 5-4: Angle Bisector Theorem: If a point is on the bisector
of an angle, then the point is equidistant from the sides of the angle.
Theorem 5-5: Converse of the Angle Bisector Theorem: If a point
in the interior of an angle is equidistant from the sides of the angle,
then the point is on the angle bisector.
Angle Bisectors
Find FD. Explain your reasoning.
Find mDEH . Explain your reasoning.
5.2 Bisectors in Triangles
Can you figure out the puzzle below???
HW 5.2: #6-15, 18-25, 40, 48
NaNaFish
Tuna Fish