[NCERT] Class 8 Maths Ex. 3.4 Understanding Quadrilaterals Solutions (2024-25)

[NCERT] Class 8 Maths Ex. 3.4 Understanding Quadrilaterals Solutions (2024-25)

[NCERT] Class 8 Maths Ex. 3.4 Understanding Quadrilaterals Solutions (2024-25)

Solution:-

(a) – False

All rectangles are not squares as all sides of rectangles are not equal to each other.

(b) – True

All rhombuses are parallelogram as its opposite sides are parallel to each other and opposite angles are equal.

(c) – True

All squares are rhombus as its all sides are equal and opposite sides are parallel to each other. diagonal of a square is also perpendicular bisectors of each other.

All squares are also rectangles as its opposite sides are equal and diagonal bisects each other.

(d) – False

All squares are parallelogram

(e) – False

As kites all sides are not equal.

(f) – True

(g) – True

As, parallelogram’s one pair of opposite sides are parallel to each other.

(h)

As, squares one pair of opposite sides are parallel to each other.

Solution:-

(a) Rhombus and Squares have all four sides of equal lengths.

(b) Squares and rectangles have four right angles.

Solution:-

(i) Square is a quadrilateral because it has four sides.

(ii) Square is a parallelogram because its opposite sides are parallel and opposite angles are equal.

(iii) Square is a rhombus because all the four sides are of equal length and diagonals bisect at right angles.

(iv) Square is a rectangle because each interior angle, of the square is 90° and opposite sides are equal.

Solution:-

(i) Parallelogram, Rhombus, Square and Rectangle.

(ii) Rhombus and Square

(iii) Rectangle and Square

Solution:-

A rectangle is a convex quadrilateral because both of its diagonals lie inside the rectangle.

Solution:-