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Byju's Answer
Standard IX
Mathematics
Opposite Sides of a Parallelogram Are Equal
Identify the ...
Question
Identify the true statements :-
A
A rectangle is a parallelogram.
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B
A square is a rhombus
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C
A parallelogram is a rhombus
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D
A kite is a parallelogram
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Solution
The correct options are
B
A rectangle is a parallelogram.
D
A square is a rhombus
A
is correct because the rectangle has equal parallel sides.
B
is correct because a square has all sides equal.
C
is incorrect because parallelograms do not have all sides equal as in rhombus.
D
is incorrect because kites do not have equal parallel side pairs.
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Similar questions
Q.
Which of the following statements are true and which are false?
(i) The diagonals of a parallelogram are equal.
(ii) The diagonals of a rectangle are perpendicular to each other.
(iii) The diagonals of a rhombus are equal.
(iv) Every rhombus is a kite.
(v) Every rectangle is a square.
(vi) Every square is a a parallelogram.
(vii) Every square is a rhombus.
(viii) Every rectangle is a parallelogram.
(ix) Every parallelogram is a rectangle.
(x) Every rhombus is a parallelogram.
Q.
State with reasons whether the following statements are ‘true’ or ‘false’.
(i) Every parallelogram is a rhombus.
(ii) Every rhombus is a rectangle.
(iii) Every rectangle is a parallelogram.
(iv) Every squre is a rectangle.
(v) Every square is a rhombus.
(vi) Every parallelogram is a rectangle.
Q.
State whether True or False.
(a) All rectangles are squares.
(b) All rhombuses are parallelograms.
(c) All squares are rhombuses and also rectangles.
(d) All squares are not parallelograms.
(e) All kites are rhombuses.
(f) All rhombuses are kites.
(g) All parallelograms are trapeziums.
(h) All squares are trapeziums.
Q.
Determine if the given statements are sometimes , always or never true.
(i) A parallelogram is a quadrilateral.
(ii) A parallelogram is a trapezium.
(iii) A rhombus is a square.
(iv) A trapezium is a quadrilateral.
(v) A rectangle is a square.
Q.
The bisectors of the angle of a parallelogram enclose a
(a) parallelogram
(b) rhombus
(c) rectangle
(d) square
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