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LESSON 5-3 MEDIANS, ALTITUDES ANGLE BISECTORS

OF TRIANGLES

OBJECTIVE To define and use medians, altitudes

and angle bisectors of triangles

DEFINITIONS

A median of a triangle

is a segment whose endpoints are a vertex of the

triangle and the midpoint of the opposite side.

EX. 1 Sketch, label and mark 3 medians for

?ABC.

An altitude of a triangle

is a segment from a vertex of the triangle and

perpendicular to the line containing the

opposite side.

EX. 2 Sketch, label mark altitudes for each

of the 3 triangles.

T

U

V

An angle bisector in a triangle

is a segment that bisects one of the angles of a

triangle and whose endpoints are on the triangle.

C

EX. 3 Sketch, label and mark angle bisectors

for ?CAR.

A

R

STATEMENTS REASONS

1. BD is a med of ?ABC 1. GIVEN

2. Def. of med.

3. Def. of midp.

4. GIVEN

5. Ref. Prop ?

6. SSS Post.

6. ?ABD ? ?CBD

7. CPCTC

7. ?ABD ? ?CBD

ASSIGNMENT

Lesson 5.3 Worksheet

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