Quadrilaterals

Q.

What do you call a $16$ sided shape?

Q.

Every Rhombus is a square.

1. True
2. False

Q.

Question 2 (d)

Give reasons for the following:

Squares, rectangles, parallelograms are all quadrilaterals.

Q.

The angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6, find the smallest angle.

1. ${100}^{\circ }$

2. ${80}^{\circ }$

3. ${60}^{\circ }$

4. ${120}^{\circ }$

Q. Identify the convex polygon.

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

Q. Diagonal of a quadrilateral divides into ________ .

1. 2 quadrilaterals
2. 2 triangles
3. 2 angles
4. 2 lines

Q.

The diagonals of the parallelogram whose sides are $\mathrm{lx}+\mathrm{my}+\mathrm{n}=0,\mathrm{lx}+\mathrm{my}+\mathrm{n}=0,\mathrm{mx}+\mathrm{ly}+\mathrm{n}=0,\mathrm{mx}+\mathrm{ly}+\mathrm{n}=0$ includes an angle

1. $\frac{\mathrm{\pi }}{2}$

2. $\frac{\mathrm{\pi }}{4}$

3. $\frac{\mathrm{\pi }}{3}$

4. None of these

Q.

In a quadrilateral, if a pair of opposite sides is equal and parallel, then it is possibly a ___

1. Rhombus

2. Square

3. Parallelogram

4. Trapezium

Q.

Question 2 (e)

Give reasons for the following:

Square is also a parallelogram.

Q. If two angles of a quadrilateral have a common arm, they are called and if not, they are called

1. opposite angles
2. right angles
3. adjacent angles
4. acute angles

Q. A four sided closed figure is called as a ________ .

1. pentagon
2. hexagon
3. triangle
4. quadrilateral

Q.

Name the angles in the given figure:

Q. A four sided figure is called as a .

1. triangle
2. quadrilateral
3. line

Q.

Question 3

A figure is said to be regular if its sides are equal in length and angles are equal in measure. Can you identify the regular quadrilateral?

Q.

Question 1 (e)

Say True or False:

All the sides of a parallelogram are of equal length.

Q.

Which of the following do not have two pair of parallel sides?

1. Parallelogram

2. Rectangle

3. Trapezium

4. Rhombus

Q.

Fill in the blanks.

A quadrilateral with two pairs of equal adjacent sides but unequal opposite sides is known as _________________.

Q. Which of the following are parallelograms?

1. Square
2. Rectangle
3. Triangle
4. line.

Q.

If the angles of a quadrilateral are in the ratio 6 : 7 : 8 : 9

The smallest angle is _________

1. 108°

2. 204°

3. 72°

4. 180°

Q.

Which of the following figures is not a convex polygon

1. 

2. 

3. 

4. 

Q.

The angles of a quadrilateral are in the ratio 3:4:5:8. The angles of the quadrilateral are:

1. 40°, 100°, 80°, 140°

2. 30°, 40°, 50°, 60°

3. 10°, 20°, 30°, 40°

4. 60°, 80°, 100°, 120°

Q.

Which one of the following is a regular polyhedron?

1. Cube

2. Cuboid

3. Square pyramid

4. Rectangular prism

Q.

If the angles of a quadrilateral are ${80}^{\circ }$, ${110}^{\circ }$, ${70}^{\circ }$, then the fourth angle will be ______.

1. ∠A = 40°, ∠B = 130°, ∠C = 90°, ∠D = 60°

2. ∠A = 70°, ∠B = 110°, ∠C = 80°, ∠D = 110°

3. ∠A = 80°, ∠B = 120°, ∠C = 60°, ∠D = 100°

4. ∠A = 70°, ∠B = 130°, ∠C = 60°, ∠D = 90°

Q. If A is an orthogonal .matrix then what is the value of det A

Q.

Question 1:

Draw a rough sketch of a quadrilateral PQRS. Draw its diagonals. Name them. Is the meeting point of the diagonals in the interior or exterior of the quadrilateral?

Q.

All the quadrilaterals are polygons, but all the polygons need not be quadrilateral.

1. True

2. False

Q.

Question 2(b):

Draw a rough sketch of a quadrilateral KLMN.

State : Two pairs of opposite angles.

Q. Which of the following are the properties of concave quadrilateral?

1. One of the angles is not less than ${180}^{\circ }$.
2. One of the interior angles is a reflex angle.
3. One diagonal lie outside the quadrilateral.
4. All of the above.

Q.

All kites are squares. State whether the statement is

1. True
2. False

Q.

The area of the triangle formed by the positive x-axis and the normal and tangent to the circle ${\mathrm{x}}^2+{\mathrm{y}}^2=4$ at $\left(1,\sqrt{3}\right)$ is

1. $\sqrt{3}$

2. $2\sqrt{3}$

3. $4\sqrt{3}$

4. none of these