You can Download KSEEB Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.4 Questions and Answers helps you to revise the complete syllabus.

## KSEEB Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.4

Question 1.

State whether True or False:

- All rectangles are squares.
- All rhombuses are parallelograms.
- All squares are rhombuses and also rectangles.
- All squares are not parallelograms.
- All kites are rhombuses.
- All rhombuses are kites.
- All parallelograms are trapeziums.
- All squares are trapeziums.

Solution:

- False
- True
- True
- False
- False
- True
- True
- True

Question 2.

Identify all the quadrilaterals that have.

- four sides of equal length.
- four right angles.

Solution:

- The quadrilateral is either a Rhombus or a Square.
- The quadrilateral is either a Square or a Rectangle.

Question 3.

Explain how a square is.

- a quadrilateral
- a parallelogram
- a rhombus
- a rectangle

Solution:

- A square is a four-sided closed figure, so it is a quadrilateral.
- In a square, both pairs of opposite sides are equal. Hence, it is a parallelogram.
- A square is a rhombus because all sides of a square are equal.
- A square is a rectangle because its opposite sides are equal and all angles are 90° each.

Question 4.

Name the quadrilaterals whose diagonals.

- bisect each other.
- are perpendicular bisectors of each other.
- are equal.

Solution:

- The diagonals of a parallelogram, rectangle, rhombus and square bisect each other.
- The diagonals are perpendicular bisectors in squares and rhombus.
- The diagonals are equal in square and rectangle.

Question 5.

Explain why a rectangle is a convex quadrilateral.

Solution:

Both of its diagonals lie in its interior.

Question 6.

ABC is a right-angled triangle and O is the midpoint of the side opposite to the right angle. Explain why O is equidistant from A, B, and C. (The dotted lines are drawn additionally to help you).

Solution:

OB is produced to D such that OB = OD

Join AD and CD.

Now, ABCD is quadrilateral whose diagonals AC and BD bisect each other at O.

So, O is equidistant from A, B and C.