Geometry
Name___________________________________
Unit 5 6.6 Warm Up
Date________________ Block____
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Find the missing length. The triangles in each pair are similar.
1)
2)
D
P
25
R
30
?
63
Q
C
E
E
L
J
65
45
C
65
D
?
K
3)
4)
?
13
A
B
?
12
9
36
L
L
48
K
H
40
K
66
J
30
C
G
Solve for x. The triangles in each pair are similar.
5)
6)
F
E
R
48
21
4 x + 16
T
D
P
12
Q
G
32
154
56
U
H
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15 x + 12
V
Worksheet by Kuta Software LLC
Geometry
Unit 5 6.6
Skill #1- Splitter Theorem
Name______________________________
Date____________________ Block______
Side Splitter Theorem (Triangle Proportionality Theorem)
If a line is parallel to one side of a triangle and intersects the other two sides, then it
divides the two sides proportionally.
Find x ________________
A
24
12
B
x
E
10
C
D
Corollary to the Side Splitter
If three or more parallel lines intersect two transversals, then they divide the
transversals proportionally.
Find x ___________________
2
8
x
12
Trick Question:
Set up a proportion, then solve for y.
A
y
B
E
4
D
5
C
20
Geometry
Name___________________________________
Unit 5 6.6 CW Skill #1
Date________________ Block____
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Find the missing length indicated.
1)
2)
20
?
4
5
5
?
8
4
3)
4)
20
?
?
1
6
3
3
9
5)
6)
8
4
4
?
6
9
7)
5
?
8)
8
6
?
15
20
12
12
?
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Worksheet by Kuta Software LLC
Geometry
Unit 5 6.6
Skill #2- Triangle Angle Bisector
Name______________________________
Date____________________ Block______
Triangle Angle Bisector Theorem
Given:
AD is an angle bisector in Δ ABC
A
x y

z w
y
xz
D
B
C
z
w
D
Example:
Find x ______________
10
15
x
12
Set up the proportion to solve for x.
1.
2.
5
10
7
x
3.
x
4
3
6
8
4
x
10
Geometry
Name___________________________________
Unit 5 6.6 CW Skill #2
Date________________ Block____
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Find the missing length indicated.
1)
2)
4
6
15
2
?
8
1
?
3)
4)
28
16
12
4
12
?
?
9
5)
6)
3
9
?
?
8
6
6
12
7)
8)
?
4
12
15
10
21
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9
?
Worksheet by Kuta Software LLC
Geometry Practice
6.6 – Proportionality Theorems Use the figure to complete the proportion. 1. GC

CF DB
2. AF

FC BD
3. CD
GD

FB
4. AE
GE

CD
5) Use the given information to determine if TU || QS .
6) Use the given information to determine if KM || JN .
7) Use the given information to determine if KM || JN .
Name ______________________ Period ____ Date ___________ In problems 7‐11, solve for the missing side length. 8) 9) 11) 10) 12) 13) In the diagram, NR || PQ .
MQ = 42, MN = 13, and NP = 8. Find RQ & MR. 14) CHALLENGE: Find the values of the missing variables.
15) The real estate term “lake frontage” refers to the distance along the edge of a piece of property that
touches a lake. a. Find the lake frontage (to the nearest tenth of a yard) for each lot shown.
b. In general, the more lake frontage a lot has, the higher it’s selling price. Which of the lots should
be listed for the highest price?
16) On the map below, Idaho Avenue bisects the angle between University Avenue and Walter Street.
To the nearest yard, what is the distance along University Avenue from 12th Street to Washington Street? Answer bank: 27 22.8125 58.4 yds 8 GD 64.7 yds 4 GB 5 1 GD C 12 They are parallel 16.625 10 They are parallel 350 yds 50.9 yds 16 9 26 Not parallel BE 15