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Post a LessonAnswered on 07/03/2024 Learn CBSE - Class 7/Maths/Symmetry
Sadika
For an isosceles triangle, the line of symmetry can also be referred to as the "axis of symmetry." This line divides the triangle into two mirror-image parts, running from the apex (the vertex opposite the base) to the midpoint of the base.
Answered on 07/03/2024 Learn CBSE - Class 7/Maths/Symmetry
Sadika
Shapes with no line of symmetry do not divide into two mirror-image halves, regardless of how you try to fold or bisect them. Here are three examples:
Scalene Triangle: A triangle with all sides of different lengths and all angles of different sizes has no line of symmetry because there is no way to divide it into two parts that are mirror images of each other.
Irregular Polygon: An irregular polygon, which does not have equal-length sides or equal angles, typically has no line of symmetry. An example would be a five-sided polygon where no two sides or angles are the same.
Parallelogram (excluding rectangles and rhombuses): A general parallelogram (which is not a rectangle or rhombus) has no lines of symmetry. Its opposite sides are equal in length, and opposite angles are equal, but it does not fold into two parts that are mirror images of each other unless it is a special type like a rectangle or rhombus, which do have lines of symmetry.
These shapes illustrate that symmetry is not a universal characteristic of all geometric figures.
Answered on 07/03/2024 Learn CBSE - Class 7/Maths/Symmetry
Sadika
An example of a geometrical figure that has neither a line of symmetry nor rotational symmetry is a scalene triangle. A scalene triangle is defined by having all three sides of different lengths and all three internal angles of different measures. This lack of uniformity means it cannot be divided into two mirror-image halves by any line (i.e., it has no line of symmetry). Additionally, it cannot be rotated around its center to a position where it looks exactly the same as its original position (i.e., it has no rotational symmetry), except at rotations of 360°, which applies to all figures as a return to the original orientation and is generally not considered when discussing rotational symmetry.
Answered on 07/03/2024 Learn CBSE - Class 7/Maths/Symmetry
Sadika
An example of a letter in the English alphabet that has no line of symmetry is the letter "F". The letter "F" does not have a line through which it can be divided into two mirror-image halves, either horizontally or vertically.
Answered on 07/03/2024 Learn CBSE - Class 7/Maths/Symmetry
Sadika
The letter "Z" has rotational symmetry of order 2. This means that if you rotate the letter "Z" by 180 degrees, it appears the same as its original orientation.
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