Basic Geometrical Ideas and Symmetry Quiz

Which of the following has the highest order of rotation?

1. Circle
2. Regular hexagon
3. Regular Octagon
4. Square

Answer: (a) Circle

A circle with a radius of 3 cm, what is the length of the longest chord of the circle?

1. 5 cm
2. 6 cm
3. 7 cm
4. 3 cm

Answer: (b) 6 cm

Fill in the blank: A _________ is a region enclosed by a chord and the corresponding arc of the circle.

1. segment
2. area
3. sector
4. arc

Answer: (a) segment

In triangle ABC, AB = AC. What is the line of symmetry in the given figure?

1. CN
2. BM
3. AO
4. no line of symmetry

Answer: (c) AO

Find the sum of lines of symmetry of equilateral triangle and regular pentagon.

1. 6
2. 9
3. 7
4. 8

Answer: (d) 8

In the given figure, AB = BC = CD = DE, determine the ratio of BD to AE.

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

Answer: (b) 1 : 2

Choose the correct matches from the following: Figure Centre of rotation Number of lines of symmetry (i) Circle Centre 2 (ii) Rhombus Point of the intersection point of its diagonals 4 (iii) Semicircle Centre 1 (iv) Equilateral triange Point of intersections of its medians 3

1. only (iv) is correct
2. (i), (ii) and (iii) are correct
3. (iii) and (iv) are correct
4. (ii) and (iv) are correct

Answer: (c) (iii) and (iv) are correct

How many boxes need to be shaded in the given figure to make it symmetrical about the line PQ?

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

Answer: (d) 4

Find the difference in the number of pairs of adjacent sides and pairs of opposite sides of the quadrilateral ABCD in the given figure.

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

Answer: (b) 2

The sum of three angles is 180⁰. Which of the following are possible? X : Two angles are right angles and one obtuse angle. Y : Two angles are obtuse and one angle is acute. Z : One angle is obtuse and two angles are acute. W : All the three angles are acute.

1. X and Z
2. Y and W
3. Z and W
4. X and W

Answer: (c) Z and W