All rectangles are squares. , 8 | Understanding Quadrilaterals MATHS | STUDENTS FRIENDS Doubtnut

Which of the following statements are true for a rectangle? It has two pairs of equal sides. It has all its sides of equal length. Its diagonals are equal. Its diagonals bisect each other. Its diagonals are perpendicular. Its diagonals are perpendicular and bisect each other. Its diagonals are equal and bisect each other. Its diagonals are equal and perpendicular, and bisect each other. All rectangles are squares. All rhombuses are parallelograms. All squares are rhombuses and also rectangles. All squares are not parallelograms.

Statement: 1.Some quadrilaterals are squares. 2.All squares are rhombuses./ Conclusion/ : I. No quadrilateral is a rhombus. II. All rhombuses are squares. III. Some quadrilaterals are rhombuses.

DACRUISE 5.4State whether True or False.(a) All rectangles are squares(e) All kites are rhombuses.(b) All rhombuses are parallelograms(h. All rhombuses are kites.(c) All squares are rhombuses and also rectangles (9) All parallelograms are trapeziums.(d) All squares are not parallelograms. (h) All squares are trapeziums.

Statements:- No squares are rectangles. All rectangles are triangles. Conclusions:- I. Some triangles are squares. II. Some triangles are rectangles.

Write converse, inverse and contraposilive of the implication: if a quadrilatera ABCD is a square, all the sides of the quadrilateral ABCD are equal.

Statements: All squares are triangles No triangles is circle All circles are rectangles Conclusions: I. No rectangles is square II. All rectangles being square is a possibility

Give reasons for the following : (a) A square can be thought of as a special rectangle.(b) A rectangle can be thought of as a special parallelogram.(c) A square can be thought of as a special rhombus.(d) Squares,rectangles, parallelograms are all quadrilaterals.(e) Square is also a parallelogram.