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प्रश्न
A quadrilateral ABCD is symmetric about its diagonal AC. Name three sides of this quadrilateral which are equal.
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उत्तर
The quadrilateral ABCD is symmetric about its diagonal AC.

∴ It must be a kite-shaped.
Hence side AB = AD and BC = DC.
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संबंधित प्रश्न
Take a graph paper and mark the points A(2,0), B(2,8) and C(S,4) on it. Taking AB as the line of symmetry, obtain and write the co-ordinates of point D. Complete the quadrilateral ABCD and give its geometrical name.
Draw a triangle with no line of symmetry. In case, if possible, represent the line/ lines of symmetry by dotted lines. Also, write the special name of the triangle drawn.
Draw a triangle with more than three lines of symmetry. In case, if possible, represent the line/ lines of symmetry by dotted lines. Also, write the special name of the triangle drawn.
Draw a triangle with exactly three lines of symmetry. In case, if possible, represent the line/ lines of symmetry by dotted lines. Also, write the special name of the triangle drawn.
Draw a quadrilateral with no line of symmetry. In case, if possible, represent the line/ lines of symmetry by dotted lines. Also, write the special name of the quadrilateral drawn.
Draw a quadrilateral with more than four lines of symmetry. In case, if possible, represent the line/ lines of symmetry by dotted lines. Also, write the special name of the quadrilateral drawn.
A quadrilateral ABCD has exactly one axis of symmetry, which is not a diagonal. Show that the quadrilateral is an isosoeles trapezium.
Draw the mirror image:
Trace figure. Then draw all lines of symmetry, if it has.

Draw all lines of symmetry for the following figure.

