Polygons on the Basis of Regularity

Q. What is a convex quadrilateral?

Q. PQRSTU is a regular hexagon. Determine each angle of $△PQT$.

Q. (A) A regular polygon is equiangular and equilateral.
(B) A rectangle is equilateral but not equiangular.
(C) Convex polygons have no portions of their diagonals in their exteriors.
(D) Equilateral triangles are always equiangular.
Which of the above statement(s) is incorrect?

1. A regular polygon is equiangular and equilateral.
2. Convex polygons have no portions of their diagonals in their exteriors.
3. Equilateral triangles are always equiangular.
4. A rectangle is equilateral but not equiangular.

Q.

What is a regular polygon? State the name of a regular polygon of:
(i) 3 sides (ii) 4 sides (iii) 6 sides

Q.

Which of the following are definitely regular polygons?

1. Triangle

2. Square

3. Rectangle with unequal sides

4. None of these

Q. Question 5 (i)
What is a regular polygon?
State the name of a regular polygon of:
(i) 3 sides

Q. A regular rectangle is nothing but a .

1. square
2. pentagon
3. hexagon

Q.

A polygon is said to be a regular polygon if -

1. all its angles are equal

2. all its sides are equal

3. all its opposite sides and angles are equal

4. all its sides and angles are equal

Q. What is a regular polygon?
State the name of a regular polygon of
(i) $3$ sides (ii) $4$ sides (iii) $6$ sides

Q. Question 5 (a)
(a) How many sides does a regular polygon have if each of its interior angle as ${22}^{\circ }$?

Q. State the name of a regular polygon of $3$ sides.

1. Equilateral triangle
2. Scalene triangle
3. Isoceles triangle
4. None of these

Q. Question 104
State whether the statements are True or False.
A polygon is regular if all of its sides are equal.

Q. State the name of a regular polygon of $6$ sides.

1. Regular nonagon
2. Regular hexagon
3. Regular heptagon
4. Regular octagon

Q. Which is a regular polygon?

Q. Square is an example of ................. polygon

1. curved
2. irregular
3. regular
4. None of the above

Q. What is a regular polygon?

Q. In figure 21, all intersections occur at right angles. What is the approximate perimeter of the polygon?

1. 19.38
2. 20.19
3. 20.99
4. 19.27
5. 15.11

Q. If a polygon has equal angles and equal sides it is a _____ polygon.

1. irregular
2. curved
3. none of the above
4. regular

Q.

Which of the following is surely a regular polygon?

1. Triangle

2. Square

3. Rectangle

4. Parallelogram

Q. Identify a regular polygon of 4 sides from the below list

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

Q.

What is a regular polygon?

State the name of a regular polygon of

(i) 3 sides

(ii) 4 sides

(iii) 6 sides

Q. A circle having its centre at (0, 0) has a point (3, 4) on its boundary. Which of the following points will lie inside the circle?

1. (5, 4)
2. (6, 4)
3. (2, 5)
4. (2, 4)

Q.

Which of the following are definitely regular polygons?

1. Triangle

2. Square

3. Rectangle with unequal sides

4. None of these

Q. A quadrilateral in which the line segment joining any two arbitrary points in its interior lies wholly within the quadrilateral is a _____. Choose an appropriate option to fill in the blank.

1. Regular polygon
2. Concave quadrilateral
3. Equilateral triangle
4. Convex quadrilateral

Q. Find the number of sides of a regular polygon if each exterior angle is equal to one third of its adjacent interior angle.

Q. An ..................... polygon has sides of any length and angles of any measure.

1. supplementary
2. triangular
3. regular
4. irregular

Q. Find the number of sides of a regular polygon if each exterior angle is equal to its adjacent interior angle

Q.

Sum of exterior angles of a regular polygon of$n$ sides is _____.

Q.

Write the name and side of the polygon . Also mention its type whether it is a regular or an irregular polygon .

Q. (A) A rhombus with 4 acute angles.
(B) A parallelogram with 4 angles of equal measure.
(C) A rhombus with sides that measures 4 cm, 4cm, 8 cm, and 8 cm.
(D) A parallelogram with sides that measures 2 cm, 4 cm, 6 cm and 8 cm.
Which of these shapes mentioned above is possible?

1. A rhombus with 4 acute angles.
2. A parallelogram with 4 angles of equal measure.
3. A parallelogram with sides that measures 2 cm, 4 cm, 6 cm and 8 cm.
4. A rhombus with sides that measures 4 cm, 4cm, 8 cm, and 8 cm.