Form 3 Mathematics

Mid-points of any quadrilateral

(Book 3B P.g 60 Supplementary Exercise 9 Question 4)


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ABCD is a quadrilateral. P, Q, R and S are the mid-points of AB, BC, CD and DA respectively.

Drag the points B, C , D and observe PQRS. What kind of quadrilateral must PQRS be? Can you prove it?


See Mid-point Theorem


Further question

If ABCD is a trapezium, what kind of quadrilateral is PQRS?

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Further question

If ABCD is a paralleologram, what kind of quadrilateral is PQRS?

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Further question

If ABCD is a rhombus, what kind of quadrilateral is PQRS?

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Further question

If ABCD is a rectangle, what kind of quadrilateral is PQRS?

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Further question

If ABCD is a square, what kind of quadrilateral is PQRS?

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