4.6 H­L Theorem (1).notebook
November 12, 2014
D.I.R.T.
Q
Given: XQ parallel TR, XR bisects QT
Prove: XMQ = RMT
4.6 Hypotenuse­Leg Theorem
1) WHY? ___________________
X
Hypotenuse: Side opposite the right angle and it is the longest side
M
R
Leg: Two side that make up the right angle.
T
Given: AE parallel BD
AE = BD, m<E=m<D
Prove: AEB = BDC
E
2) D
Why? _____________
A
B
C
Nov 26­8:51 AM
Nov 26­8:51 AM
M
1) MAT __________________
by______________________
Hypotenuse­Leg (HL) Theorem ­ If the hypotenuse and leg of on triangle are congruent to the hypotenuse and leg of another triangle, then the triangles are congruent. X
A
H
T
A
2) Z
B
D
A
Y
B
DAB __________________
by______________________
~
ABD = XYZ
D
Nov 26­8:55 AM
Nov 26­8:59 AM
GIVEN: FJ HJ
F
3) C
GFJ __________________
by______________________
J
G
H
4. Which two triangles are congruent by the HL Theorem? Write a congruence statement. Q
L
3
Assignment: Pg. 219 #1­4 Are triangles congruent by HL?
# 5­7, 10 What info needed?
# 14, 15, 35­37
# 42­47 ­ Give angle relationships.
O
5
5
P
N
M
3
S
R
3
5
T
Nov 26­9:00 AM
Nov 26­9:31 AM
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