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The diagram shows a cyclic quadrilateral PQRS with its diagonals intersecting at K. Which of...

Mathematics
WAEC 2011

The diagram shows a cyclic quadrilateral PQRS with its diagonals intersecting at K. Which of the following triangles is similar to triangle QKR?

  • A. \(\bigtriangleup\) PQK
  • B. \(\bigtriangleup\) PKS
  • C. \(\bigtriangleup\) SKR
  • D. \(\bigtriangleup\) PSR
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Correct Answer: Option B
Explanation

It is angle PKS, angles in the same segment. Therefore, PKS is congruent with QKR

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