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# Ex.3.4 Q1 Understanding Quadrilaterals Solution - NCERT Maths Class 8

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## Question

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.

Video Solution
 Shapes True or False Reason A All rectangles are Squares. False A rectangle need not have all sides equal hence it is not square. B All rhombuses are parallelograms True Since the opposite sides of a rhombus have the same length, it is also a parallelogram C All squares are rhombuses and also rectangles. True All squares are rhombuses as all sides of a square are of equal lengths. A square is a rectangle as each internal angle is $$90$$ degrees. D All squares are not parallelograms. False The opposite sides of a parallelogram are of equal length hence squares with all sides equal are paralleolgrams. E All kites are Rhombuses. False Since rhombus have all sides of equal length. All kites need not have all sides of the same length. F All rhombuses are kites. True Since, all rhombuses have equal sides and diagonals bisect each other. G All parallelograms are trapeziums True Since, trapezium has only two parallel sides. H All squares are Trapeziums. True All trapezium have a pair of parallel sides hence squares can be trapezium.