Instructions: select the correct answer from each drop-down menu.

Option 4

Option 2

Step-by-step explanation:

Given: The line segment AB and CD, P is the midpoint of AB which implies AP=PB and Q is the midpoint of CD which implies CQ=QD.

Also, It is given that P is point on AB, therefore there is no relation of point P with line segment CQ.

Hence, the invalid statement is

Segment AP is congruent to segment PQ.

Therefore, option (D) is correct.

Now, it is given that R is the midpoint of AP which implies AR=RP and S is the midpoint of QD which implies QS=SD

Now, AB≅CD (Given)

≅

PB≅CQ (Mid points are given)

Therefore, PA=QD

⇒PR=QS

Also, because PB≅CQ⇒PB+PR≅CQ+QS

⇒RB≅CS

⇒Segment RB is congruent to segment CS

Hence, option 2 is correct.