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Example Questions
Example Question #1 : How To Find If Parallelograms Are Similar
A parallelogram has adjacent sides with the lengths of and
. Find a pair of possible adjacent side lengths for a similar parallelogram.
and
and
and
and
and
Since the two parallelogram are similar, each of the corresponding sides must have the same ratio.
The solution is:, (divide both numbers by the common divisor of
).
Example Question #1 : How To Find If Parallelograms Are Similar
A parallelogram has adjacent sides with the lengths of and
. Find a pair of possible adjacent side lengths for a similar parallelogram.
and
and
and
and
and
Since the two parallelogram are similar, each of the corresponding sides must have the same ratio.
The ratio of the first parallelogram is:
Applying this ratio we are able to find the lengths of a similar parallelogram.
Example Question #3 : How To Find If Parallelograms Are Similar
A parallelogram has adjacent sides with the lengths of and
. Find a pair of possible adjacent side lengths for a similar parallelogram.
Since the two parallelogram are similar, each of the corresponding sides must have the same ratio.
The ratio of the first parallelogram is:
Applying this ratio we are able to find the lengths of the second parallelogram.
Example Question #271 : Quadrilaterals
A parallelogram has adjacent sides with the lengths of and
. Find a pair of possible adjacent side lengths for a similar parallelogram.
Since the two parallelogram are similar, each of the corresponding sides must have the same ratio.
The ratio of the first parallelogram is:
Thus by simplifying the ratio we can see the lengths of the similar triangle.
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