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11. Given:
J
w
K
w
'
K
w
M
w
,
J
w
M
w
>
K
w
L
w
M
w
L
w
i
J
w
K
w
Prove:
M
w
L
w
>
J
w
K
w
Proof:
Isosceles Triangles
Page 216
Geometry Activity: Isosceles Triangles
1.
/
A
>
/
B
2.
They are congruent.
3.
They are congruent.
Page 219
Check for Understanding
1.
The measure of only one angle must be given in
an isosceles triangle to determine the measures of
the other two angles.
2.
W
w
X
w
>
Z
w
X
w
;
/
W
>
/
Z
3.
Sample answer: Draw a line segment. Set your
compass to the length of the line segment and
draw an arc from each endpoint. Draw segments
from the intersection of the arcs to each endpoint.
4.
/
ADH
is opposite
A
w
H
w
and
/
AHD
is opposite
A
w
D
w
,
so
/
ADH
>
/
AHD
.
5.
B
w
H
w
is opposite
/
BDH
and
B
w
D
w
is opposite
/
BHD
,
so
B
w
H
w
>
B
w
D
w
.
6.
Each angle of an equilateral triangle measures 60°.
m
/
F
5
¬
3
x
1
4
60
5
¬
3
x
1
4
56
5
¬
3
x
}
5
3
6
}
5
¬
x
m
/
G
5
¬
6
y
60
5
¬
6
y
10
5
¬
y
m
/
H
5
¬
19
z
1
3
60
5
¬
19
z
1
3
57
5
¬
19
z
3
5
¬
z
7. Given:
n
CTE
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This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.
 Fall '10
 Dr.Zhan
 Calculus, PreCalculus

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