Class 5 Exam > Class 5 Notes > Mathematics for Class 5 > Worksheet Solution: Symmetry and Nets
Worksheet Solution: Symmetry and Nets | Mathematics for Class 5 PDF Download
Q1: How many English alphabets are symmetrical?
Ans:
- 14 letters have lines of symmetry either horizontally or vertically.
- They are A, B, C, D, E, H, I, K, M, O, T, V, W, X.
Q2: How many lines of symmetry does these geometrical shapes have?
- Square
- Pentagon
- Rhombus
- Trapezium
Ans:
- Square: has 4 lines of symmetry
- Pentagon: has 5 lines of symmetry
- Rhombus: has 2 lines of symmetry
- Trapezium: has 0 lines of symmetry
Q3: Which of the following shapes have rotational symmetry?
- Square
- Circle
- Hexagon
- Crescent
Ans:
- A square has a rotational symmetry of order 4
- Circle has a rotational symmetry at every angle of the circle
- Hexagon has rotational symmetry of order 6
- Crescent has rotational symmetry of order 2
Q4: Draw the lines of Symmetry for the following shapes.
Ans: The Line of Symmetry for the given shapes are:
Q5: Show translation symmetry to the following images
- Square
- Octagon
- Triangle
Ans:
- Square has been translated from the 1st Quadrant to the 3rd Quadrant.
- Hexagon Translated from the 2nd Quadrant to 3rd Quadrant
- Triangle translated from 2nd Quadrant to 4th Quadrant.
Q6: How do reflection symmetry look for the following shapes?
- Star
- Moon
- Sun
Ans: The reflection for the Star, Moon and Sun appear the same as the original images
Q7: Draw a shape that does not have symmetry.
Ans:
Q8: Does the image have a symmetry along x- axis?
Ans: The given image does not have symmetry along x- axis. However it is symmetrical diagonally.
Q9: How to make the given image symmetrical along the y-axis?
Ans:
Step 1: Remove the cell in the 1st row, 3rd column
Step 2: Add the 5th cell in the 1st column in the place of the 2nd column fourth row.
Q10: Colour the appropriate cells to make it symmetrical for the given image.
Ans: There are multiple ways to make the given image symmetrical. 3 methods are given below.
Method 1: Colour all cells with the same colour. (either grey or white) to make it symmetrical
Method 2:
Method 3:
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FAQs on Worksheet Solution: Symmetry and Nets - Mathematics for Class 5
| 1. What is symmetry in geometry? |  |
Ans.Symmetry in geometry refers to a property where a shape or object can be divided into two or more identical parts that are arranged in a balanced way around a central point, line, or plane. It can be classified into various types, such as reflective symmetry (mirror symmetry), rotational symmetry, and translational symmetry.
| 2. How do you identify lines of symmetry in a shape? | |
Ans.To identify lines of symmetry in a shape, you can fold the shape along a line to see if both halves match perfectly. If they do, that line is considered a line of symmetry. You can also visualize or draw potential lines and check for identical halves across those lines.
| 3. What are nets in geometry? | |
Ans.Nets in geometry are two-dimensional shapes that can be folded to form a three-dimensional object. A net is essentially a layout of the surfaces of a solid figure laid out flat. For example, a cube has a net consisting of six squares arranged in a specific configuration.
| 4. How do nets help in understanding three-dimensional shapes? | |
Ans.Nets help in understanding three-dimensional shapes by providing a visual representation of how the surfaces of a solid are connected. By studying a net, one can see how the faces of a shape come together and form the solid, making it easier to conceptualize and calculate surface area and volume.
| 5. Can all three-dimensional shapes be represented by nets? | |
Ans.Yes, all three-dimensional shapes can be represented by nets, although some shapes may have more than one possible net. For example, a cube can be represented by several different arrangements of its six square faces. Understanding these nets is crucial for visualizing and constructing three-dimensional objects.
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