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Section 4-6
spi.3.2.A
Jim Smith
JCHS
Isosceles triangles have at least
2 congruent sides
Vertex angle
Leg
Base angle
Leg
Base
Base angle
If 2 sides of a triangle are congruent
then the angles opposite them are
congruent
X
30°
X
X
X180
+ X– +30
30= =150°
180°
X =
2X
+ 150
30 = 180
2
2X = 150
75°
XX==75°
70°
70°
X = 180 – 70 – 70
X + 70 + 70 = 180
140 = 180
XX
= +
40°
X = 40°
The converse is also true
If 2 angles of a triangle are congruent,
then the sides opposite them are congruent
10
X
7
X = 10
B
A
35°
22°
C
23°
E
IF ‹ EDC = 120°
Find :
D
‹
‹
‹
‹
‹
120 – 79 = 41°
ABE
A
BED
EDB
C
=
=
=
=
=
23°
134°
79°
79°
104°
IF ‹4 = 118° , FIND
B
3 6
1
A
2
4
5
|
D
C
‹1
‹2
‹3
‹5
‹6
= 62°
= 62°
= 56°
= 31°
= 31°
Equilateral triangles are
special isosceles triangles.
60°
60°
|
60°
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