ch. 4 handout 4.6 HL Theroem.notebook
November 19, 2014
Geometry
Ch. 4 Handout 4.6
Congruence in Right Triangles ­­ HL Theorem
1
ch. 4 handout 4.6 HL Theroem.notebook
November 19, 2014
hypotenuse
leg
leg
2
ch. 4 handout 4.6 HL Theroem.notebook
November 19, 2014
Theorem 4.6 : Hypotenuse­Leg (HL) Theorem
If the hypotenuse and a leg of one right triangle are congruent to
the hypotenuse and leg of another right triangle, then the triangles are congruent. B
E
A
C
D
F
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ch. 4 handout 4.6 HL Theroem.notebook
November 19, 2014
Three conditions to be able to use HL Theorem
There are two right triangles.
The triangles have congruent Pull
Pull
hypotenuse. There is one pair of congruent Pull
legs.
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ch. 4 handout 4.6 HL Theroem.notebook
1. Given: and November 19, 2014
are right angles, C
Prove: D
E
B
Statements
A
Reasons
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ch. 4 handout 4.6 HL Theroem.notebook
2. Given: November 19, 2014
.
is the perpendicular bisector of Prove: .
C
A
B
D
E
Statements
Reasons
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ch. 4 handout 4.6 HL Theroem.notebook
November 19, 2014
3. Which two triangles are congruent by the HL Theorem?
O
L
3
S
3
3
Q
5
5
M
N
R
5
T
P
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ch. 4 handout 4.6 HL Theroem.notebook
November 19, 2014
For what values of x and y are the triangles congruent by HL?
x + 6
4y + x
y ­ x
y + 4
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ch. 4 handout 4.6 HL Theroem.notebook
November 19, 2014
Pg 238 Question 11 For what values of x and y are the triangles congruent by HL.
x + 5
3y + x
y ­ x
y + 5
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ch. 4 handout 4.6 HL Theroem.notebook
November 19, 2014
Assignments:
pgs 237­240 3,4,6­8,10,11,13,14,20,21 10