Respuesta :

Answer:

Options (2), (4) and (5) are the correct options

Step-by-step explanation:

Given question is incomplete; find the complete question in the attachment.

Form the given triangle XYZ in the picture,

Points A, B and C are the midpoints of the sides XY, YZ and ZX.

By midsegment theorem in a triangle,

"Segment joining midpoints of the two sides of a triangle is parallel and half in measure of third side."

By this property,

1). CA = [tex]\frac{1}{2}(YZ)[/tex] and CA║YZ

2). AB = [tex]\frac{1}{2}(XZ)[/tex] and AB║XZ

3). BC = [tex]\frac{1}{2}(XY)[/tex] and BC║XY

Therefore, Options (2), (4) and (5) are the correct options.

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