NAME______________________________DATE______________PER
NAME______________________________DATE______________PER.______
SIMILAR TRIANGLES
Can the following triangles be proven similar? If yes, how? Write a similarity statement if possible.
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|1. Similar? YES or NO | |
|If yes, HOW?__________ | |
|(________~(________ | |
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|2. Similar? YES or NO | |
|If yes, HOW?__________ | |
|(________~(________ | |
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|3. Similar? YES or NO | |
|If yes, HOW?__________ | |
|(________~(________ | |
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|4. Similar? YES or NO | |
|If yes, HOW?__________ | |
|(________~(________ | |
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|5. Similar? YES or NO | |
|If yes, HOW?__________ | |
|(________~(________ | |
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|6. Similar? YES or NO | |
|If yes, HOW?__________ | |
|(________~(________ | |
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Find the indicated value(s).
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|7. Similar? YES or NO |Given that MN (( OP, determine if (LMN ~ LOP. If so, how? Find the value of ‘x’ if |
|If yes, HOW?__________ |possible. |
|x = __________ | |
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|8. Similar? YES or NO |Given that RS (( VT, determine if (RSU ~ (VTU. If so, how? Find the values of ‘x’ and ‘y’ |
|If yes, HOW?__________ |if possible. |
|x = __________ | |
|y = __________ | |
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|9. Similar? YES or NO |The measures of the sides of (LMN are 3, 7, & 9. The measures of the sides of (RST are 21, |
| |49, and 63. Are the two triangles similar? If so, what is the common ratio? |
|Common Ratio:__________ | |
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|10. Similar? YES or NO |The measures of two sides of (ABC are 3 & 4, and the measure of the included angle is 62(. |
| |The measures of two sides of (DEF are 27 & 36, and the measure of the included angle is 62(.|
|Common |Are the two triangles similar? If so, what is their common ratio? |
|Ratio:__________ | |
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PRACTICE
Find the correct answer for each of the following. Clearly circle/bubble in your answer as necessary. Work must be shown in order to receive credit.
11. What is the common ratio of the
parallelograms shown below?
A. 5:3
B. 4:3
C. 5:7
D. The parallelograms are not similar.
12. Determine if the triangles are
similar. If so what proves the two
triangles are similar?
A. SSS Similarity Theorem
B. ASA Similarity Theorem
C. AA Similarity Postulate
D. The triangles are not similar.
13. In the figure below, (ABC is
similar to (DEF. Find the length
of DE.
A. 6.5
B. 7.5
C. 8
D. 9
14. Senior photos come in 5 sizes,
2 x 3, 4 x 5, 5 x 7, 8 x 10, and
10 x 13. Which sizes are similar?
A. 5 x 7 and 10 x 13
B. 4 x 5 and 8 x 10
C. 2 x 3 and 5 x 7
D. 2 x 3 and 4 x 5
-----------------------
A#9-4
Q
R
P
7
10
15
M
N
O
30
21
45
R
S
T
A
B
C
120(
120(
40(
20(
N
L
M
U
T
S
12
8
9
6
W
Y
Z
M
K
S
10
8
5
4
J
L
F
D
E
A#9-4 Pg. 2
Z
Y
A
D
B
C
7
7
3
9
9
6
L
M
N
O
P
2
1
x + 1
x
R
S
V
T
U
20
y
9
3
12
x
A#9-4 Pg. 3
P
Q
R
S
T
53(
37(
30 m
18 m
9 m
15 m
A#9-4 Pg. 4
A
B
C
D
E
F
10
16
12
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