Warm Up
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Warm Up 12.05.1 1 Week 8
description
Week 8. Warm Up. 12.05.11. Triangle Midsegment. A segment that connects two midpoints of a triangle. Ex 1. •. K ( 4, 5 ). Ex 2. J ( -2, 3 ). •. M =. ( 5 , 2 ). •. 1). N. Find midpoints of two sides. ( 2 , 1 ). •. M =. M. •. M = ( 2 , 1 ). L ( 6, -1 ). N =. N =. - PowerPoint PPT Presentation
Transcript of Warm Up
Warm Up 12.05.11Week 8
Geometry
5.4 Day 1
I will identify the midsegments of a triangle.
A segment that connects two midpoints of a triangle.Triangle Midsegment
Ex 1
Ex 2 1) Find midpoints of two sides.
•
•
•
K ( 4, 5 )
L ( 6, -1 )
J ( -2, 3 )M =
M =
M = ( 2 , 1 )
•
N =
N =
•
N = ( 5 , 2 )
M
N( 2 , 1 ) ( 5 , 2 )
Ex 2 2) Find the slopes.
=
•
•
•
K ( 4, 5 )
L ( 6, -1 )
J ( -2, 3 )
••
M
N( 2 , 1 ) ( 5 , 2 )
=
=
=
=
Ex 2 3) Find the distances.
•
•
•
K ( 4, 5 )
L ( 6, -1 )
J ( -2, 3 )
••
M
N( 2 , 1 ) ( 5 , 2 )
MN =
MN =
MN =
MN =
JK =
JK =
JK =
JK =
JK =
Midsegment Theorem
The segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half as long.
Theorem 5.9
A B
C
D E
∥ DE =
AB
Ex 3
Find UW and RT.
and are midsegments of ∆ RST
R
S
W
T
U
V812
UW = ( RS )
UW = ( 12 )
UW = 6
6
RT = 2( VW )
RT = 2( 8 )
RT = 16
Ex 4 Midpoints are L( 4,2 ), M( 2,3 ) and N( 5,4 )
1) Plot Midpoints
M
••
•N
L
2) Find Slope
2
3) Use slope to draw a parallel line to the opposite side from the midpoint to the endpoints.
Do 1 : EF = ________
Textbook Page 290, 13 - 29 odds.Assignment
10.6
D
E
FG
J H
8
24
GF = ________
DF = ________
JH = ________
