Question

Point E is the midpoint of AB and point F is the midpoint of CD .

Which statements about the figure must be true? Check all that apply.


AB is bisected by . CD

CD is bisected by . AB

AE = 1/2 AB

EF = 1/2 ED

FD= EB

CE + EF = FD

Answer 1

Answer:1,3,5

Explanation:

Answer 2

# AB is bisected by CD

# AE = 1/2 AB

# CE + EF = FD

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