Chapter 5: Understanding Quadrilaterals & Practical Geometry

Solution:-

Square is a regular quadrilateral.

All the angles and sides of square are equal.

Solution:-

A quadrilateral in which a pair of opposite sides is parallel is trapezium.

Solution:-

If all sides of a quadrilateral are equal, it is a rhombus, square.

Solution:-

In a rhombus diagonals intersect at right angles.

Solution:-

5 measurements can determine a quadrilateral uniquely.

5 measurements are four sides one angle or 3 sides and 2 included angle.

Solution:-

A quadrilateral can be constructed uniquely if its three sides and 2 included angles are given.

Solution:-

A rhombus is a parallelogram in which all sides are equal.

Solution:-

The measure of 1 angle of concave quadrilateral is more than 180^o.

Solution:-

A diagonal of a quadrilateral is a line segment that joins two opposite vertices of the quadrilateral.

Solution:-

The number of sides in a regular polygon having measure of an exterior angle as 72^o is 5.

We know that, the measure of each exterior angle of a regular pentagon is 360^o/n.

Where ‘n’ is the number of sides in the polygon,

Then, pentagon has exterior angle = 72^o

So, 72^o = 360^o/n

n = 360^o/72^o

n = 5