Question

The figure below shows a parallelogram PQRS:

(1st pic)

The flowchart shown below shows the sequence of steps to prove the theorem: Opposite angles of a parallelogram are equal:

(2nd pic) 

Which is the missing statement?

 PS is congruent to QR 
 PQ is congruent to SR 
 PS is parallel to QR 
 PQ is parallel to SR <<< my answer

Answer 1

"PS is parallel to QR" would be the correct answer! Would you like me to explain why?
Hope this helped!

Answer 2

Answer: The answer is (C) PS is parallel to QR.

Step-by-step explanation:  We are given a parallelogram PQRS. The given flowchart shows the sequence of steps in proving that the opposite angles of a parallelogram are equal.

We are to select the missing statement from the flowchart proof.

The conclusion from the missing statement is angle 4 is equal to angle 3.

The reason behind this is that PS is parallel to QR and QS is a transversal, so we have

∠1 ≅ ∠2, since they are alternate interior angles.

Thus, (C) PS is parallel to QR is the correct option.