Congruent Quadrilaterals: Forming and Solving Simultaneous Equations

Congruent Quadrilaterals: Forming and Solving Simultaneous Equations

Secondary 2

In the diagram below, quadrilateral \(ABCD\) is congruent to quadrilateral \(PQRS\).

All lengths are in cm.

  1. Using the information above, write down two simultaneous equations in terms of \(x\) and \(y\).
  2. Solve the simultaneous equations in (a).

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Answer:\(\text{(a)}\ 3x+2y=4,\quad y-2x=9\) \(\text{(b)}\ x=-2,\quad y=5\)

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