4.4 Midsegments of Triangles
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Transcript 4.4 Midsegments of Triangles
To Start:
1. What does it mean to be congruent? (5 points)
2. Ok, think about this!!!! What is the difference
between an Isosceles triangle and an Equilateral
triangle? Take your time and think before you
answer!!! (15 Points)
Chapter 5: Relationships Within
Triangles
SECTION 5.1: MIDSEGMENTS OF TRIANGLES
5.1: Midsegments of Triangles
Theorem 5.1 – If a segment
joins the midpoints of two
sides of a triangle, then the
segment is parallel to the
third side and half its length.
A
X
So if X is the midpoint of AB
Y
and Y is the midpoint of AC,
then XY is Parallel to BC and
XY is half the length of BC.
B
C
5.1: Midsegments of Triangles
5.1: Midsegments of Triangles
25
x =50
5.1: Midsegments of Triangles
x - 1 12
x 13
6
x-1
5.1: Midsegments of Triangles
2x 16
x 8
2x
32
5.1: Midsegments of Triangles
5x - 4 4x
x-4 0
x4
2x
5x-4
5.1: Midsegments of Triangles
36 54 90
90/2 45
x 45
36
x
54
4.4 Midsegments of Triangles
20 40 60
60/2 30
x 30
20
x
40
5.1: Midsegments of Triangles
HOMEWORK
PG.288 1-3, 7-24
5.1 WORKSHEET
TALKING ASSIGNMENT: 25-27, 31-34