# Types of Quadrilaterals

## Trending Questions

**Q.**

What is the difference between convex and concave polygons?

**Q.**

Are diagonals of a rhombus equal?

**Q.**

1)A polygon has 27 diagonals. How many sides does it have?

**Q.**

Name the quadrilateral whose diagonals are equal and bisect each other at right angles

**Q.**

The polygon in which sum of all exterior angles is equal to the sum of interior angles is called __________.

**Q.**

Fill in the blanks :

(i) A quadrilateral has

(ii) A quadrilateral has

(iii) A quadrilateral has

(iv) A quadrilateral has

(v) A diagonal of a quadrilateral is a line segment that joins two

(vi) The sum of the angles of a quadrilateral is

**Q.**

Draw a rough figure of a quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measure.

**Q.**

Square is a regular quadrilateral.

- False
True

**Q.**

Which of the following is/are concave quadrilaterals?

II & IV

IV

II

I & III

**Q.**

In the figure, ABCD is a quadrilateral.

(i) Name a pair of adjacent sides.

(ii) Name a pair of opposite sides.

(iii) How many pairs of adjacent sides are there?

(iv) How many pairs of opposite sides are there?

(v)Name a pair of adjacent angles.

(vi) Name a pair of opposite angles.

(vii) How many pairs of adjacent angles are there?

(viii) How many pairs of opposite angles are there?

**Q.**

The total number of parallelograms in this figure is

**Q.**

Which of the following quadrilaterals has equal length of diagonals?

i)Rhombus

ii) Rectangle

iii) Square

iv) Kite

v) Parallelogram

ii, iii, iv

i, ii, iii

ii, iii

ii, iii, v

**Q.**

Define the following terms:

(i) Quadrilateral (ii) Convex Quadrilateral.

**Q.**If a part of the line connecting two interior points that lie outside the polygon, then it is called ________.

- concave polygon
- convex polygon
- regular polygon
- irregular polygon

**Q.**

How many diagonals does each of the following have?

(a) A convex quadrilateral

(b) A regular hexagon

(c) A triangle

**Q.**Match the following with the values of 'x'.

- 125°
- 48°
- 145°

**Q.**

Suppose ABC is an equiangular triangle. Prove that it is equilateral. (You have seen earlier that an equilateral triangle is equiangular. Thus for triangles equiangularity is equivalent to equilaterality.)

**Q.**The following figure is an example of ______.

- concave polygon
- convex polygon
- regular polygon
- irregular polygon

**Q.**

The measure of atleast one angle of a concave quadrilateral is __________ $180\xb0$

**Q.**

When we start constructing a quadrilateral with 2 diagonals and 3 sides known, in how many ways can the construction be started?

2

3

4

1

**Q.**

**Question 78**

Fill in the blanks to make the statements true.

Fill in the blanks to make the statements true.

The measure of

**Q.**

Diagonals in following quadrilateral are equal or

I) parallelogram. 2) rhombus 3) rectangle 4) trapezium

**Q.**Fill in the blanks.

For a convex polygon of n sides, we have:

(i) Sum of all exterior angles = .........

(ii) Sum of all interior angles = .........

(iii) Number of diagonals = .........

**Q.**How many diagonals does each of the following have?

(1.) A convex Quadrilateral

Find the answer of this question?

**Q.**If the lengths of three sides of an isosceles trapezium are 10 cm, 5 cm and 4 cm, its perimeter CANNOT be

- 23 cm
- 25 cm
- 29 cm
- 31 cm

**Q.**Which of the following statements are incorrect?

- Three non-collinear points form a triangle.
- No three vertices of a quadrilateral are collinear.
- Any two vertices of a quadrilateral are non - collinear.
- Four non - collinear points form a quadrilateral.

**Q.**

The sum of the four angles of a quadrilateral is $360\xb0$

The angle of a quadrilateral are respectively $100\xb0,98\xb0,92\xb0.$ The measure of fourth angle is:

$70\xb0$

$290\xb0$

$98\xb0$

$92\xb0$

**Q.**Identify the number of concave polygons from the given figures?

- 1
- 2
- 3
- 4

**Q.**

There is a pair of parallel lines which intersects with another pair of parallel lines. The quadrilateral formed is trapezium.

True

False

**Q.**Which of the following statements are incorrect?

- Three collinear points form a triangle.
- No three vertices of a quadrilateral are collinear.
- Any two vertices of a quadrilateral are non - collinear.
- Four non - collinear points form a quadrilateral.