Triangle Similarity Theorems and Pythagorean Theorem
Geometry · Flashcards
GEOMETRY · FLASHCARDS
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QUESTION
If
∠
A
≅
∠
D
\angle A \cong \angle D
∠
A
≅
∠
D
and
∠
B
≅
∠
E
\angle B \cong \angle E
∠
B
≅
∠
E
, what similarity statement matches the order?
QUESTION
What is the third angle if a triangle has angles
28
∘
28^\circ
2
8
∘
and
92
∘
92^\circ
9
2
∘
?
QUESTION
If
△
A
B
C
∼
△
D
E
F
\triangle ABC \sim \triangle DEF
△
A
B
C
∼
△
D
E
F
and
A
B
D
E
=
2
5
\frac{AB}{DE}=\frac{2}{5}
D
E
A
B
=
5
2
, what is
k
k
k
from
A
B
C
ABC
A
B
C
to
D
E
F
DEF
D
E
F
?
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ANSWER
k
=
5
2
k=\frac{5}{2}
k
=
2
5
. Scale factor is the reciprocal:
k
=
1
2
5
=
5
2
k = \frac{1}{\frac{2}{5}} = \frac{5}{2}
k
=
5
2
1
=
2
5
.
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