Question

7. Triangle XYZ has O as the mid point of XY. Segments OM and ON are perpendicular
to sides XZ and YZ, respectively. Also OM = ON. Prove that XYZ is an isosceles
triangle.
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Answer 1

Answer:

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Step-by-step explanation:

Since M and N are the mid-points of XY and YZ respectively,  

therefore by midpoint theorem,

MN is parallel to XZ and MN=  

2

1

​  

XZ=  

2

1

​  

XY (since XY=XZ)

or MN=MX=MY.