Question

Figure PQRS is rotated by 180 degrees about the origin in the counterclockwise direction to obtain figure P′Q′R′S′:

Which statement best compares the lengths of the sides of the two figures?

Length of PQ = Length of P′Q′
Length of PQ = Length of R′S′
Length of RS = Length of P′Q′
Length of RS = Length of Q′R′

Answer 1

i believe that the answer is length of PQ = length of P′Q′ since they are the same sides on both shapes

Answer 2

A. Length of PQ = Length of P′Q′

Explanation:

We are given,

Figure PQRS is rotated by 180° counter-clockwise about the origin to obtain P'Q'R'S'.

Since, we know that, 'Rotation' is a transformation that turns the figure around a fixed point to a certain degree.

We get that, rotation does not affect the length of the figure.

So, the length of PQ = length of P'Q' and length of RS = length of R'S'

Thus, according to the options, we get that option A i.e. Length of PQ = Length of P′Q′ is correct.