Question

which side of the original parallelogram corresponds to the y - centimeter side of the enlarged parallelogram? explain how you know
the ____ - centimeter side corresponds to the y - centimeter side.
o 10 cm because both are the shorter sides of the parallelogram
o 10 cm because both are the longer sides of the parallelogram
o 15 cm because both are the shorter sides of the parallelogram
o 15 cm because both are the longer sides of the parallelogram

Explanation:

In similar figures (like these parallelograms), corresponding sides are proportional. The original parallelogram has sides 10 cm (shorter) and 15 cm (longer). The enlarged one has a side \( x \) (let's assume \( x \) corresponds to 10 cm, so we check which original side matches the longer side \( y \) of the enlarged. The 15 cm is the longer side of the original, so it should correspond to the longer side \( y \) of the enlarged. So the 15 cm side (longer) of the original corresponds to \( y \) (longer) of the enlarged. Among the options, the one saying "15 cm because both are the longer sides of the parallelogram" is correct.

Answer:

The option: "15 cm because both are the longer sides of the parallelogram" (the last option in the list, described as "15 cm because both are the longer sides of the parallelogram")