Answer:
1. Answer: (c) 3
Explanation: Equilateral triangles have all three sides equal and all three angles equal showing 3 lines of symmetry.
2. Answer: (d) 4
Explanation: A line of symmetry is the line that divides the shape into two halves that match exactly. A square has four lines of linear symmetry. One crosses through each diagonal. The other is the two lines that cross horizontally and vertically through the middle of the square.
3. Answer: (b) 2
Explanation: A rectangle has two lines of symmetry as shown in the figure. A rectangle can be folded into half either horizontally or vertically.
4. Answer: (d) 5
Explanation: lines of symmetry of a regular pentagon has 5 lines of symmetry.
5. Answer: (c) 6
Explanation: A regular hexagon with six equal sides has six lines of symmetry. For all regular polygons, the number of lines of symmetry is equal to the number of sides. That is an equilateral triangle has 3 lines of symmetry, a square has 4 lines of symmetry, similarly, a regular hexagon has 6 lines of symmetry.
6. Answer: (d) 6
Explanation: A line of Symmetry divides a figure into two mirror-image halves.
But a line of Symmetry cannot divide the above triangle into two mirror-image halves because it is a scalene triangle. Therefore, the above triangle has 0 lines of symmetry.
7. Answer: (c) 1
Explanation: An isosceles triangle has one line of symmetry. However, if the isosceles triangle is also an equilateral triangle, then it has three lines of symmetry.
But the given triangle is not an equilateral triangle. An isosceles triangle is defined as a triangle with two sides of equal length. An equilateral triangle is defined as a triangle with three sides of equal length. Therefore, an equilateral triangle is also an isosceles triangle.
This triangle has 2 sides of equal length. When an isosceles triangle has exactly two sides of equal length, then it has just 1 line of symmetry that runs from the vertex between the two sides of equal length to the midpoint of the side opposite that vertex.
8. Answer: (b) 2
Explanation: Rhombus has 2 lines of symmetry which cuts it into two identical parts. Both the lines of symmetry in a rhombus are from its diagonals. So, it can be said the rhombus lines of symmetry are both diagonals. The rhombus has 2 lines of symmetry.
9. Answer: (a) 0
Explanation: The number of lines of symmetry of a parallelogram depends on the type of parallelogram. A non-special parallelogram does not have any lines of symmetry. This includes any quadrilateral with two pairs of parallel and equal sides, except for rectangles, squares, and rhombuses. A rectangle is a parallelogram with four right angles. This property allows it to have two lines of symmetry. A rhombus is a parallelogram with four equal sides. The number of lines of symmetry of a rhombus depends on whether it is a square or not. If it has four right angles, the rhombus is a square and thus has four lines of symmetry. If not, the rhombus only has two lines of symmetry.
10. Answer: (c) 3
Explanation: Number of lines of symmetry in a quadrilateral cannot be three.
11. Answer: (c) 3
Explanation: If an equilateral triangle is rotated by 120 (one-fifth of 360), then it exactly fits its own outline. Therefore the equilateral triangle has rotational symmetry of order 3.
12. Answer: (b) 4
Explanation: Order of rotational symmetry is the number of times an object fits itself when rotated by 360º.As we can see from the figure given above, the square fits itself 4 times during a full rotation of 360º. Hence, it has the rotational symmetry of order 4.
13. Answer: (c) 120º
Explanation: We can see that three yellow lines which are at 120º each are lines of symmetry. So, the given figure has rotational lines of symmetry that is after moving the figure by 120º we get the same figure again.
14. Answer: (a) H
Explanation: H, I, O, X are the letters having a reflectional symmetry about both the vertical mirror and the horizontal mirror.
15. Answer: (a) O
Explanation: H, I, O, X are the letters having a reflectional symmetry about both the vertical mirror and the horizontal mirror.
16. Answer: (d) square
Explanation: Square has both line and rotational symmetry of order more than 1.
17. Answer: (c) Isosceles triangle
Explanation: Isosceles triangle has only one line of symmetry.
18. Answer: (a) 120º
Explanation: The angle of rotation of an Equilateral Triangle is 120º
19. Answer: (d) Rotational
Explanation: The number of times a figure fits into itself in one complete rotation is called the order of rotational symmetry. A figure has a rotational symmetry of order 1, if it can come to its original position after full rotation or 360º.
20. Answer: (a) midpoints
Explanation: A rectangle is symmetrical about the lines joining the mid point of the opposite sides.
21. Answer: (d) infinite
Explanation: A circle has an infinite 'order of rotational symmetry'. That is, a circle will always fit into its original outline, regardless of how many times it is rotated.
22. Answer: (a) diameter
Explanation: A circle has infinitely many lines of symmetry: any diameter lies on a line of symmetry through the center of the circle.
23. Answer: (a) no line of symmetry
Explanation: The letter F has no lines of symmetry.
24. Answer: (c) Both A and B are correct
Explanation: One is the mirror image of other. Hence, the dimensions of the of the two figures will remain same.The two figures are congruent and we know that all congruent figures are similar to each other.Thus, both options A and B are correct.
25. Answer: (d) reflection
Explanation: Line symmetry is also known as reflection symmetry.Because a mirror line resembles the line of symmetry, where one half is the mirror image of the other half.
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