Question

Parallelogram PQRS is similar to Parallelogram LMNO. What side on LMNO corresponds with side QR? What side on PQRS corresponds with LO? If angle S is 42 degrees, what is the measure of angle O? ( What goes in the space of the questions) Side corresponds with side QR. Side corresponds with side LO. The measure of angle O is degrees.

Answer 1

The corresponding side on LMNO to side QR is side NO. The corresponding side on PQRS to side LO is side PS. The measure of angle O is 42 degrees.

Step-by-step explanation:

The corresponding side on LMNO to side QR is side NO.

The corresponding side on PQRS to side LO is side PS.

Since parallelogram PQRS is similar to parallelogram LMNO, the corresponding sides are proportional. So if QR corresponds to NO, then PS corresponds to LO.

To find the measure of angle O, we can use the fact that corresponding angles in similar figures are congruent. Since angle S is 42 degrees in PQRS, angle O in LMNO will also be 42 degrees.