Trigonometric Ratios from Right Triangle Similarity
Geometry · Flashcards · Application
GEOMETRY · FLASHCARDS
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QUESTION
Find
x
x
x
if
△
A
B
C
∼
△
D
E
F
\triangle ABC\sim\triangle DEF
△
A
B
C
∼
△
D
E
F
,
A
B
=
9
AB=9
A
B
=
9
,
D
E
=
6
DE=6
D
E
=
6
, and
A
C
=
x
AC=x
A
C
=
x
corresponds to
D
F
=
10
DF=10
D
F
=
10
.
QUESTION
Which statement is always true if
△
A
B
C
≅
△
D
E
F
\triangle ABC\cong\triangle DEF
△
A
B
C
≅
△
D
E
F
:
A
B
D
E
=
1
\frac{AB}{DE}=1
D
E
A
B
=
1
or
A
B
D
E
=
k
\frac{AB}{DE}=k
D
E
A
B
=
k
for any
k
k
k
?
QUESTION
What is the scale factor from triangle
△
A
B
C
\triangle ABC
△
A
B
C
to
△
D
E
F
\triangle DEF
△
D
E
F
if
A
B
=
6
AB=6
A
B
=
6
and
D
E
=
9
DE=9
D
E
=
9
are corresponding?
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ANSWER
k
=
9
6
=
3
2
k=\frac{9}{6}=\frac{3}{2}
k
=
6
9
=
2
3
. Scale factor is the ratio of corresponding sides.
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