Polygons on the Basis of Shape

Q.

Explain why a rectangle is a convex quadrilateral.

Q.

Which of the following are concave polygons?

1. i, ii, iii

2. ii, iii, iv

3. ii, iii

4. none of these

Q.

Given here are some figures.

(1)	(2)	(3)
(4)	(5)	(6)
(7)	(8)

Classify each of them on the basis of the following.

(a) Simple curve

(b) Simple closed curve

(c) Polygon

(d) Convex polygon

(e) Concave polygon

Q.

A convex polygon has at least one diagonal external to it. State true or false.

1. True
2. False

Q. Which of the following have two pairs of adjacent sides equal, and diagonals intersecting at 90 deg?​

1. Trapezium
2. Kite​
3. Rhombus ​
4. Rectangle

Q.

If two angles of a triangle are $60°$ each, then the triangle is

1. Isosceles but not equilateral

2. Scalene

3. Equilateral

4. Right-Angled

Q.

State which of the following are polygons :

If the given figure is a polygon, name it as convex or concave.

Q.

Whether the opposite sides of a kite must always be unequal or not?

Q. (A) The diagonals are perpendicular to each other.
(B) The diagonals bisect each other.
(C) Only one pair of opposite angles is equal.
(D) All the four sides are equal.
Which one of these is false for a kite?

1. The diagonals are perpendicular to each other
2. The diagonals bisect each other.
3. Only one pair of opposite angles is equal.
4. All the four sides are equal

Q.

Explain the properties of a kite with appropriate diagram.

Q.

Ram wants to divide his property among his two sons and one daughter. He consider the property as sum of three angles of triangle and divide them into three equal parts. So, what type of triangle should he consider.

1. Equilateral

2. Isosceles

3. Scalene

4. Right

Q. The measure of each interior angle of a regular convex polygon is ${156}^{\circ }$. Find the number of sides this polygon has.

1. 12
2. 10
3. 8
4. 15

Q. A regular rectangle is nothing but a .

1. square
2. pentagon
3. hexagon

Q.

Which of the following are definitely regular polygons?

1. Triangle

2. Square

3. Rhombus

4. Rectangle

Q.

What is the sum of the measures of the angels of a convex quadrilateral? Will this property hold if the quadrilateral is not convex? (Make a non-convex quadrilateral and try!)

Q. What is the sum of all interior angles of a convex polygon with seven sides ?

Q. Identify the number of convex polygons from the given figures.

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

Q.

How many diagonals does each of the following have?
(i) A convex quadrilateral
(ii) A regular hexagon
(iii) A triangle.

Q. How many diagonals does each of the following have?
(a) A convex quadrilateral

Q.

Fill in the blanks:

A convex quadrilateral cannot have an angle which measures more than ______.

Q. If each angle of a polygon is less than ${180}^o$ then it is called a ____ polygon.

1. concave
2. irregular
3. None of the above
4. convex

Q. What will be the sum of all angles of a convex polygon which has 7 number of sides?

1. ${900}^o$
2. ${820}^o$
3. ${800}^o$
4. ${780}^o$

Q. The measure of each interior angle of a regular convex polygon is ${156}^{\circ }$. Find the number of sides this polygon has.

1. 12
2. 10
3. 8
4. 15

Q.

Which of the following is not a model for a plane surface?

1. Top surface of table

2. Surface of paper

3. Body of car

4. None of these

Q.

Given here are some figures.

Classify each of them on the basis of the following.

(a) Simple curve (b) Simple closed curve (c) Polygon (d) Convex polygon (e) Concave polygon

(1) (2) (3) (4) (5) (6) (7) (8)

Q.

Classify the figure on the basis of the following: ​

1. Simple curve ​

2. Simple closed curve ​

3. Polygon ​

4. Convex polygon ​

5. Concave polygon ​

6. Not a curve ​

Q. Define:
Convex polygon and concave polygon

Q. Question 1 (d)
Given here are some figures:



Classify each of them on the basis of the following.
(d) Convex polygon

Q. The measure of each interior angle of a regular convex polygon is ${156}^{\circ }$. Find the number of sides this polygon has.

1. 12
2. 8
3. 10
4. 15

Q.

Find the value of 'x' from the figure.

1. 135${}^{\circ }$

2. 165${}^{\circ }$

3. 90${}^{\circ }$

4. 95${}^{\circ }$