मराठी

Draw a Diagram and Name the Figure in the Following: a Quadrilateral Having Four Lines of Symmetry, Two of Which Contain Its Diagonals. - Mathematics

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प्रश्न

Draw a diagram and name the figure in the following:
A quadrilateral having four lines of symmetry, two of which contain its diagonals.

आकृती

उत्तर

Square

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पाठ 12: Symmetry - Figure Based Questions

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आईसीएसई Mathematics [English] Class 10
पाठ 12 Symmetry
Figure Based Questions | Q 5.1

संबंधित प्रश्‍न

Using graph paper and taking 1 cm = 1 unit along both x-axis and y-axis.

1) Plot the points A(–4, 4) and B(2, 2).

2) Reflect A and B in the origin to get the images A’ and B’ respectively.

3) Write down the coordinates of A’ and B’.

4) Give the geometrical name for the figure ABA’B’.

5) Draw and name its lines of symmetry.


Use graph paper for this question) (4)
A(0, 3), B(3, −2) and O(0, 0) are the vertices of triangle ABO.

(1) Plot the triangle on a graph sheet taking 2 cm = 1 unit on both the axes.1
(2) Plot D the reflection of B in the Y-axis, and write its coordinates.
(3) Give the geometrical name of the figure ABOD.
(4) Write the equation of the line of symmetry of the figure ABOD.


Complete the following figure, about the given lines of symmetry which are shown by dotted lines and name the figure thus obtained:


Construct a triangle ABC in which each side measures 5.8 cm. Draw all the possible lines of symmetry. 


Part of a geometrical figure is given in each of the diagram below. Complete the figures so that both the X-axis and the Y-axis are lines of symmetry of the completed figure.




Give the geometrical name of the completed figure.
(You may use graph paper if required).
Freehand sketches would be sufficient.


Draw the lines of symmetry of the following.


Once there was a king. He was upset because thieves kept stealing costly jewels from his locker. Here is what the locker looked like:

The locker could be opened by giving its handle half a turn. Another half turn and the locker would be locked again.

  • The king would often leave the locker open thinking it was locked. Can you guess the reason?


Is there any line of symmetry in the figure? If yes, draw all the lines of symmetry.


Shape Number of lines of symmetry
(i) Isosceles triangle (a) 6
(ii) Square (b) 5
(iii) Kite (c) 4
(iv) Equilateral triangle (d) 3
(v) Rectangle (e) 2
(vi) Regular hexagon (f) 1
(vii) Scalene triangle (g) 0

Copy the triangle in the following figure on squared paper. Draw the line(s) of symmetry, if any and identify the type of triangle. (Some of you may like to trace the figure and try paper-folding first!)


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