A quadrilateral PQRS has vertices at P(2, 5), Q(11, 7), R(9, 6) and S(4, 8). a.
Question:
A quadrilateral PQRS has vertices at P(–2, –5), Q(11, – 7), R(9, 6) and S(–4, 8).
a. Work out the lengths of the four sides of PQRS.
b. Find the coordinates of the midpoints of the diagonals PR and QS.
c. Without drawing a diagram, show that PQRS cannot be a square. What shape is PQRS?
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a To find the length of each side of PQRS we can use the distance formula Length of PQ sqrt11 22 7 52 sqrt169 4 sqrt173 Length of QR sqrt9 112 6 72 sq...View the full answer
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Related Book For
Cambridge IGCSE And O Level Additional Mathematics
ISBN: 9781510421646
1st Edition
Authors: Val Hanrahan, Jeanette Powell
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