Quadrilateral

Q. How many diagonals does a quadrilateral have?

1. 1
2. 2
3. 3
4. 4

Q. A regular polygon with 9 sides is called:

1. Decagon
2. Octagon
3. Dodecagon
4. Nonagon

Q.

All regular polygons of the same number of sides are similar.

1. True
2. False

Q. A line segment joining any vertices of a polygon is called its diagonal. State true or false.

1. True
2. False

Q. A polygon whose all sides and all angles are equal is known as:

1. Irregular polygon
2. Regular polygon
3. Simple polygon
4. Convex ploygon

Q. Which instrument is used to draw a 90 degree angle?

1. Protractor
2. Divider
3. Set squares
4. Scale

Q.

In the adjoining figure, ABCD is a quadrilateral.
(i) How many pairs of adjacent sides are there? Name them.
(ii) How many pairs of opposite sides are there? Name them.
(iii) How many pairs of adjacent angles are there? Name them.
(iv) How many pairs of opposite angles are there? Name them.
(v) How many diagonals are there? Name them.

Q.

Can we draw a quadrilateral ABCD with following measurements: AB = 3cm, BC = 5cm, AD = 4cm, CD = 7cm and BD = 8cm?

1. No, it is impossible

2. With the measure of extra angle, Yes

3. With the measure of other diagonal, Yes

4. Yes, definitely

Q. Number of sides of a polygon whose exterior and interior angles are in the ratio 1 : 3 is .

1. 6
2. 8
3. 10
4. 12

Q.

ABC is a right angled triangle. Find the length of AB.

Given that BC = 12 units; AC = 13 units.

1. 11 units

2. 7 units

3. 4 units

4. 5 units

Q. In a right angled triangle ABC. $\angle B={90}^o$.
(i) If AB = 6 cm , BC= 8 cm, find AC.
(ii) If AC = 13 cm, BC= 5 cm. find AB.

Q.

What kind of figure can be formed by 3 collinear points and one non-collinear point?

1. Line

2. Triangle

3. Quadrilateral

4. Parallelogram

Q. Name the following figure:

1. Regular pentagon
2. Equilateral triangle
3. Square
4. Regular hexagon

Q. Match the polygons given on the left with their sum of interior angles given on the right.

1. 720°
2. 1080°
3. 900°
4. 1440°

Q. Question 98
State whether the statements are True or False.
A quadrilateral has two diagonals.

Q. Question 6
Find the area of a rhombus whose side is 6 cm and whose altitude is 4 cm. If one of the diagonals is 8 cm long, find the length of the other diagonal

Q. What do you mean by the diagonal of a polygon? How many diagonals does a rectangle have?

Q. To construct a unique quadrilateral ABCD, the measurements of should be given.

1. AB, BD
2. AB, BC, BD
3. AC, BD, AB, BC, CD
4. AC, BD, AB, BC

Q. Which of the following quadrilateral has unequal diagonals?

1. Square
2. Rectangle
3. Rhombus
4. None

Q.

Question 32

If the diagonals of a rhombus get doubled, then the area of the rhombus becomes ___ its original area.

Q. Which of the following quadrilateral has equal diagonals?

1. Parallelogram
2. Rhombus
3. Rectangle
4. Trapezium

Q. Which instrument is used to construct an arc?

1. Compass
2. Protractor
3. Set squares
4. Divider

Q.

Find the value of $\angle$x in the following figure.

1. ${90}^{\circ }$

2. ${60}^{\circ }$

3. ${70}^{\circ }$

4. ${80}^{\circ }$

Q. Complete the following, so as to make a true statement :

$vi)$ The number of pairs of opposite angles of a quadrilateral is .

Q.

What is a diagonal?

Q. Question 91
Fill in the blanks to make the statements true.
The polygon in which sum of all exterior angles is equal to the sum of interior angles is called ___.

Q. A quadrilateral with two distinct pairs of equal-length adjacent sides is known as

1. Rhombus
2. Trapezium
3. Kite
4. None

Q. What is the maximum exterior angle possible for a regular polygon?

Q.

In a square, measure of each angle is ______ .

1. 60^o

2. 100^o

3. 120^o

4. 90^o

Q. The area of a rhombus is 120 cm${}^2$. If one of the diagonals is 12 cm, other diagonal of the rhombus is .

1. 10 cm
2. 20 cm
3. 15 cm