- For each of the following statements, state whether the statement is true (T) or false (F):
(i) Every square is a rectangle.
(ii) Every parallelogram is a rhombus.
(ii) Every rectangle is a parallelogram.
(iv) Every rectangle is a square.
(0) Every square is a rhombus,
(vi) Every rhombus is a square.
(vii) Every square is a parallelogram.
(viii) Every rhombus is a parallelogram.
(ix) Every parallelogram is a rectangle.
(x) Every parallelogram is a trapezium.
(xi) Every parallelogram is a square.
(xii) Every square is a trapezium.
(xiii) Every trapezium is a square.
(xiv) Every trapezium is a parallelogram.
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- True
- False
- True
- False
- False
- True
- And so on.....
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Answer:
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Step-by-step explanation:
(a) False
All squares are rectangles.
(b) True
(Opposite sides are equal and parallel.
(c) True
All sides of the rhombus are equal
All sides of the rhombus are equal.
∴ All squares are rhombuses. All squares are also rectangles as each interval angle measure 90°
(d) False
All squares are parallelogram as opposite sides are equal and parallel.
(e) False
Kite has different lengths.
(f) True
Rhombus also has two distinct consecutive pairs of sides of equal length.
(g) True
Parallelogram pair of parallel sides.
(h) True
All squares have a pair of parallel sides.
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