Question

PLZ HELP

Answer 1

Answer:

The correct option is 1.

Step-by-step explanation:

From the figure it is clear that the vertices of figure PQRS are P(-4,-2), Q(-2,-3), R(-3,-4) and S(-4,-4).

The vertices of figure P'Q'R'S' are P'(4,2), Q'(2,3), R'(3,4) and S'(4,4).

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

Rotation is a rigid transformation, it means the shape and size of the figure remains same. In other words, the preimage and image are similar figures.

$PQRS\cong P'Q'R'S'$

The corresponding parts of congruent figures are congruent.

$PQ\cong P'Q'$

$PQ=P'Q'$                     (Definition of congruence)

Since the length of PQ = Length of P′Q′. Therefore the correct option is 1.

Answer 2

Answer:

Length of PQ = Length of P′Q′