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Answer:
It is, indeed, a reduction. But, the scale factor of the dilation should be a fraction instead of a whole number, since the shape has shrunk.
Instead of , it should be
. That would make it (4 - 2) / (8 - 4) = 2 / 4 = 1/2.
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ANSWER
EXPLANATION
If ABCD is a parallelogram, then
line AB is parallel to line DC .
This means that,
and
are alternating angles.
Alternate angles are congruent.
This implies that,
We group like terms to obtain,
This simplifies to,
Also, if ABCD is a parallelogram then,
BC is parallel to AD. This means that,
We group like terms to get,
This simplifies to,
We divide both side by 4 to get,
EXPLANATION
If ABCD is a parallelogram, then
line AB is parallel to line DC .
This means that,
and
are alternating angles.
Alternate angles are congruent.
This implies that,
We group like terms to obtain,
This simplifies to,
Also, if ABCD is a parallelogram then,
BC is parallel to AD. This means that,
We group like terms to get,
This simplifies to,
We divide both side by 4 to get,