Section 4-6: Isosceles Triangles
Geometry
Name___________________________________
Section 4-6: Isosceles Triangles
Date________________ Period____
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Based on the diagram, show the relevant relationship. Write an equation. Find the value of x.
2)
1)
84¡ã
x
60¡ã
x
3)
4)
x
30¡ã
43¡ã
x
5)
6)
x
73¡ã
54¡ã
x
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-1-
Worksheet by Kuta Software LLC
7) m¡Ï2 = x + 46
8) m¡Ï2 = 8 x ? 6
2
102¡ã 2
65¡ã
9) m¡Ï2 = x + 69
10) m¡Ï2 = 6 x ? 12
2
2
60¡ã
60¡ã
11) m¡Ï2 = x + 71
12) m¡Ï2 = 4 x + 14
60¡ã
2
2
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88¡ã
-2-
Worksheet by Kuta Software LLC
13)
14)
x
x
12
9
15)
16)
x
8
x
x
6
10
17)
18)
7
x
19)
20)
12
2x ? 4
9
?15 + 2 x
21)
22)
8
x + 19
11
x+4
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-3-
Worksheet by Kuta Software LLC
23)
24)
2 x + 28
8
x + 19
12
Show the relationships involved, write an equation, then find the value of x.
25)
26)
x
x
100¡ã
63¡ã
27)
28)
71¡ã
66¡ã
x
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x
-4-
Worksheet by Kuta Software LLC
Answers to Section 4-6: Isosceles Triangles
1) 48¡ã
5) 72¡ã
9) ?9
13) 9
17) 7
21) 7
25) 100¡ã
2) 60¡ã
6) 73¡ã
10) 12
14) 12
18) 6
22) ?11
26) 72¡ã
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3) 30¡ã
7) ?7
11) ?11
15) 10
19) 8
23) ?7
27) 69¡ã
-5-
4) 43¡ã
8) 7
12) 8
16) 8
20) 12
24) ?10
28) 52¡ã
Worksheet by Kuta Software LLC
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