If point E is the midpoint of segment AC and point D is the midpoint of segment BC, which expression represents the value of u? A. u equals p over q

B. u = 1/2s

C. u equals q over p

D. u = 2s

If D and E are mid points of sides BC and AC , then according to mid point theorem, the line ED will be parallel to line AB.

so,

Angle CED = Angle CAB

Angle CDE = Angle CBA

(by corresponding Angle pair)

now the two corresponding angles of Triangle CDE is similar to Triangle CBA, so they are similar by AA similarity.

hence, their corresponding sides are proportional

that is :

and we know that q = t , since D is midpoint of BC.

therefore it will be :

Correct choice is D

do it yourself this is easy

step-by-step explanation: