What Shape has only One Line of Symmetry Line of symmetry A symmetrical figure has a line of symmetry (or mirror symmetry or reflection symmetry). Two lines of symmetry – A rectangle 4. Hence, no such triangle is possible. In geometry, you must have learned well about the term symmetry which is defined as a balanced and a proportionate similarity found in two halves of an object, that is, one-half is the mirror image of the other half. Here’s an example of a line of symmetry. isosceles triangle. (i) An equilateral triangle has 3 lines of symmetry and rotational symmetry of order 3. Drawing a line through any of the two equal angles will not result in symmetrical intersection of the triangle, and hence an isosceles triangle has only one line of symmetry. A square has 4 lines of symmetry, as shown below. (a) Yes, with one line of symmetry we have the triangle: This is an isosceles triangle. (iv) An isosceles trapezium has one line of symmetry of order more than 1. Give the justification of the construction. The line of symmetry is the line which passes through the centre of the object or any shape. Construct a triangle ABC similar to P Q R in which AB=8 cm. (c) Yes, a triangle with three lines of symmetry is possible: And it is an equilateral triangle, shown below in the figure. How many lines of symmetry are there for an isosceles triangle ? What are lines of symmetry in a triangle? 4. If the isosceles triangle is also an equilateral triangle, then it has three lines of symmetry. What is a line of symmetry in math? Lines of symmetry are imaginary lines where you could fold the image and both halves would match exactly. While looking at a mirror, an object placed on the right appears to be on the left, and vice versa. If there is a line about which it can be folded so that the two equal parts of the figure coincide, that line is called the line of symmetry or […] A shape has line symmetry when one half of it is the mirror image of the other half. If we folded our triangle on this yellow line, both halves would match perfectly. A mirror line, thus helps to visualise a line of symmetry. View solution Draw an isosceles triangle PQR in which PQ=PR=6 cm and QR=5 cm. Write the examples of : No line of symmetry, Only one line of symmetry, Two lines of symmetry, Three lines of symmetry. A scalene triangle has all distinct angles and sides, and therefore, it does not have any line of symmetry. This means that if you were to fold the shape along the line, both halves would match exactly. (ii) Isosceles triangle has only one line symmetry but no rotational symmetry of order more than 1. Book a free class. 3. The Median PL. It is considered as the axis or imaginary line of the object. A. Only one line of symmetry – An isosceles triangle 3. Q. Name of the figure is octagon. Click to find video solution. A line of symmetry is a line that cuts a shape exactly in half. The isosceles triangle figure is symmetric along the bisector of the vertical angle. The following figures have more than one line of symmetry. An isosceles triangle has exactly two sides of equal length. What triangle has one line of symmetry? No line of symmetry – A scalene triangle 2. (b) No, as there exists no triangle with only two symmetry lines. Here’s another one. (iii) A parallelogram has no line symmetry but has a rotational symmetry of order 2. ... Isosceles triangle: It has one line of symmetry as shown (iii) It is not possible (iv) Equilateral triangle: It has three lines of symmetry . You could fold the triangle at the second yellow line and still both halves would match. While dealing with mirror reflection, care is needed to note down the left-right changes in the orientation. The order of symmetry is the number of positions the object looks the same in a \(360^\circ\) rotation. The examples of lines of symmetry for each type are given below: 1. Q4 Draw a triangle with i no line of symmetry ii only one line of symmetry iii exactly two lines of symmetry iv exactly three line. 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. From the figure, there is one line of symmetry.
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