Answer:
Given information: WY=ZX, A is the midpoint of WY and A is the midpoint of ZX.
To prove : WA =ZA
Proof:
A is the midpoint of WY, it means A divides WY in two equal parts.
[tex]WA=AY[/tex]
So, WY is twice of WA.
[tex]WY=2WA[/tex] .... (1)
A is the midpoint of ZX, it means A divides ZX in two equal parts.
[tex]ZA=AX[/tex]
So, ZX is twice of ZA.
[tex]ZX=2ZA[/tex] ... (2)
[tex]WY=ZX[/tex] (Given)
Substitute the values from equation (1) and (2).
[tex]2WA=2ZA[/tex]
Divide both sides by 2.
[tex]WA=ZA[/tex]
Hence proved.
