Unit 5 Part 1

Perpendicular Bisector, Median and Altitude of

Triangles

Midpoint of a segment

Perpendicular Bisector Any point on the perpendicular

bisector of a line segment is equidistance from the endpoints of the segment.

Perpendicular Bisector of a Triangle.

The perpendicular bisector of a triangle is formed by constructing perpendicular bisectors of each side of the triangle.

GeoGebra File Perpendicular bisector

Circumscribed circle

Median of a Triangle The median of a triangle is the line

segment from a vertex to the midpoint of the opposite side of that vertex.

GeoGebra File

Altitude of a Triangle

Altitude also known as the height.

Angle Bisector Any point on the angle bisector is

equidistance from the sides of the angle.

Solve for ‘x’.

3x – 10

2x + 18

3x – 10 = 2x +18 - 2x - 2x

x – 10 = 18 +10 + 10

x = 28 x

Angle bisector of a triangle. GeoGebra File

Angle bisector

Inscribed circle

Draw AB is a median of ∆BOC RA is the altitude and median of

∆RST AE and CD are ∠ bisectors of ∆ACB

and intersect at “x”. FS and AV are altitudes of ∆FAT

and intersect outside the triangle.

SN

EL

RM

SM is an _______________ of ∆RSE. If SN = NE, then RN is a _____________

of ∆RSE. If ∠SNL is congruent to ∠LER, then

LE is an ____________________ of ∆RSE. SN = NE, therefore NT is a

___________________ of ∆RSE

T

AltitudeMedian

Angle Bisector

Perpendicular Bisector