Question

I need some help understanding!!

The figure below shows a parallelogram PQRS:

Answer 1

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

Answer 2

Which is the missing statement?

Angle 5 is equal to angle 5
Angle 5 is equal to angle 6
PS = QR
SQ = SQ

Answer 3

I'm looking for someone to help me understand it and work it out with me, not give me the exact answer please!

Answer 4

The used Angle-Side-Angle to prove triangle congruency, and both the boxes above and below the empty one relate to angles, so the empty one has to be about sides. That eliminates the first two option.

The Reflexive Property is given as the reason for the missing statement, so it's saying that the side is congruent to itself. It has to be SQ = SQ.