Name______________________________________
Geometry Applications
HW: Worksheet attached
Date___________________________
Ms. Williams
Day 5- The Three Theorems Involving Proportions
SWBAT: Apply Three Theorems frequently used to establish proportionality
Warm – Up
1.
2.
Side Splitter Theorem
Conclusion: __________________ or _____________________ or ____________________
Find the value of each variable.
Parallels Proportion Theorem
Given:
Conclusion: __________________ or _____________________ or ____________________
Angle Bisector Proportionality Theorem
Conclusion: __________________________
Ex3.
Ex 4.
Practice
1.
2.
3.
Kuta Software - Infinite Geometry
Name___________________________________
Proportional Parts in Triangles and Parallel Lines
Date________________ Period____
Find the missing length indicated.
1)
2)
12
25
16
?
?
27
15
24
3)
4)
8
2
?
20
12
15
?
18
Solve for x.
5)
6)
28
8
45
5x
3x − 5
20
36
10
Find the missing length indicated.
7)
8)
77
?
?
30
25
4
2
5
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-1-
Worksheet by Kuta Software LLC
9)
10)
6
5
11
?
?
22
6
10
Solve for x.
12)
11)
2 x − 10
35
4
25
10
9
22
7 + 14 x
Find the missing length indicated.
13)
14)
20
24
10
25
99
?
?
42
15)
16)
?
20
24
48
7
39
28
30
Solve for x.
17)
18)
7x + 3
12
10
24
20
2x − 5
55
21
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-2-
Worksheet by Kuta Software LLC