Circle Similarity
Geometry · Flashcards · Application
GEOMETRY · FLASHCARDS
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QUESTION
What is the center of the circle
(
x
−
8
)
2
+
(
y
+
3
)
2
=
16
(x-8)^2+(y+3)^2=16
(
x
−
8
)
2
+
(
y
+
3
)
2
=
16
?
QUESTION
What is the radius after dilating a circle of radius
5
5
5
by
k
=
−
2
k = -2
k
=
−
2
?
QUESTION
What is the circle equation after dilating
x
2
+
y
2
=
16
x^2+y^2=16
x
2
+
y
2
=
16
about the origin by
k
=
1
2
k = \frac{1}{2}
k
=
2
1
?
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ANSWER
x
2
+
y
2
=
4
x^2 + y^2 = 4
x
2
+
y
2
=
4
. Radius scales from
4
4
4
to
2
2
2
:
(
1
2
)
2
×
16
=
4
(\frac{1}{2})^2 \times 16 = 4
(
2
1
)
2
×
16
=
4
.
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