question_answer

If in triangle XYZ, XY = XZ and M, N are the mid points of XY, YZ, then which one of the following is correct?

A)  MN = YZ                             

B)  NY = NZ = MN

C)  MX = MY = NY                 

D)  MN = MX = MY  

Correct Answer: D

Solution :

 Since M and N are the mid-points of XY and YZ respectively, therefore MN is parallel to XZ and \[=\frac{1}{2}XY\]  (since \[XY=XZ\])                 or           \[MN=MX=MY\]