Suppose that rectangle ABCD is dilated to A'B'C'D' by a scale factor of 1/3 with a center dilation at the origin. what is the di
stance from the center of dilation to the midpoint of A'B'?
A) 1 unit
B) 2 units
C) 3 units
D) 5 units
A) 1 unit
B) 2 units
C) 3 units
D) 5 units
2 answers:
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Answer:
Step-by-step explanation:
If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.
Therefore, if and
vary inversely, their product will be the same for all values of
and
.
Let and
as given in the problem. Substitute values:
Hence, the maintained product is .
Thus, we have the following equation:
Substitute to find the value of
when
: