It is given that quadrilateral QRST is a parallelogram. Which segment of the figure must be congruent to segment SP¯¯¯¯¯¯¯? (1 point) Responses QP¯¯¯¯¯¯¯¯ upper Q upper P QS¯¯¯¯¯¯¯ upper Q upper S PT¯¯¯¯¯¯¯ upper P upper T PR¯¯¯¯¯¯¯¯

1 answer

In a parallelogram, opposite sides are congruent. Therefore, if QRST is a parallelogram and you have a segment SP that is part of one side, the segment that must be congruent to SP would be the segment that is opposite to it.

Given that QRST is a parallelogram, we can establish the following:

  • QR is congruent to ST
  • QS is congruent to RT

Since SP is a segment, we need to identify which of the options provided could correspond to one of those congruent segments. Typically, in parallelograms, we might assume a connection with side "QP" since it's between points Q and P in the name QP, or it's also common to refer to the segment that shares vertices or a segment do form connections with SP.

Considering the options provided, we can determine that the segment that is congruent to SP must be related and points towards "QP" actually being congruent to SP under typical assumptions of segments being utilized in quadrilaterals.

Therefore, the correct response is:

QP.