6.4 – prove triangles similar by aa
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6.4 – Prove Triangles Similar by AA
AA Similarity (AA ~)
Two triangles are similar if two of their corresponding angles are congruent.
Use the diagram to complete the statement.
______~MON GHI
Use the diagram to complete the statement.
???
MOONMN
GI HI GH
Use the diagram to complete the statement.
10
?
12
16
x
Use the diagram to complete the statement.
y
?
16
12 8
Use the diagram to complete the statement.
10
?
12
16
x
12x = 160
x = 40 3
Use the diagram to complete the statement.
12y = 128
x = 32 3
y
?
16
12 8
Use the diagram to complete the statement.
______~ABC DEF
?
?
?
CA
EF
AB
Use the diagram to complete the statement.
DE
BC
FD
_____B
Use the diagram to complete the statement.
E
Use the diagram to complete the statement.
?
8
12
?
x
y
Use the diagram to complete the statement.
?
6
12
?
x
16
Use the diagram to complete the statement.
16
6
12
?
x
16x = 72
x = 4.5
Use the diagram to complete the statement.
y
8
16
6
6y = 128
x = 64 3
Determine whether the triangles are similar. If they are, explain
why and write a similarity statement.
No
26°
47°
Determine whether the triangles are similar. If they are, explain
why and write a similarity statement.
AA~
ABC ~ EDC
ABC CDE
ACB ECD
Yes,
Determine whether the triangles are similar. If they are, explain
why and write a similarity statement.
AA~ABC ~ DEF
77°55°
B E
C F
Yes,
Determine whether the triangles are similar. If they are, explain
why and write a similarity statement.
No 82°
72°
Determine whether the triangles are similar. If they are, explain
why and write a similarity statement.
AA~
SRV ~ TRU
U SVR
T VSR
Yes,
Determine whether the triangles are similar. If they are, explain
why and write a similarity statement.
AA~
XTR ~ KAJ
T A
R J
Yes,
Find the length of BC.
4
7
7x = 20
x = 20 7
5
x
Find the value of x.
4
5
4x = 70
x = 17.5410
14
x
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