Answer:
# AB is bisected by CD
# AE = 1/2 AB
# CE + EF = FD
Step-by-step explanation:
* Lets talk about the mid point
- The mid-point of a segment is divided the segment into two
equal parts
- The figure has line segment AB
- E is the mid-point of AB
∴ E divides the line segment AB into two equal parts
∴ AE = EB
∴ AE = 1/2 AB ⇒ (1)
- Any line passes through the point E will bisects the line segment AB
∴ AB is bisected by CD ⇒ (2)
∵ F is the mid-point of CD
∴ F divides the line segment CD into two equal parts
∴ CF = FD
∵ Point E lies on CF
∴ CE + EF = CF
∵ CF = FD
∴ CE + EF = FD ⇒ (3)
* There are three statements must be true (1) , (2) , (3)
# AB is bisected by CD
# AE = 1/2 AB
# CE + EF = FD
