Download H-L Theorem

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