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Railways PYQCBT 1 2016

RRB NTPC · Question 71

If the middle point of a straight line XY is Z and W is a different point from Z such that XW = WY, then which of the following is incorrect? A. XZ = ZY B. ∠XZW = 90° C. Triangle XZW is similar to triangle YZW. D.∠XZW > 90°

  1. C

  2. D

  3. A

  4. B

Show answer & explanation

Answer: (B) D

Explanation

W is equidistant from X and Y, so it lies on the perpendicular bisector of XY through Z. Hence XZ = ZY, ∠XZW = 90° and triangles XZW and YZW are congruent (so similar). ∠XZW > 90° is incorrect.