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
x4
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