Drawing Axes of Symmetry for Regular and Irregular Shapes
Rhombus ABCD ...
Question
Rhombus ABCD is symmetrical about:
A
Diagonal AC
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B
Diagonal BD
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C
Line passing through the midpoint of AB and DC
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D
Line passing through the midpoint of AD and BC
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Solution
The correct options are A Diagonal AC B Diagonal BD
The rhombus is a quadrilateral whose all four side are equal in length. It has two pairs of parallel sides. Lines of symmetry joining the midpoints of its opposites create halves that do not overlap with each other.
Considering the diagonals as lines of symmetry, we find that it divides the rhombus into two that completely overlap each other.
Hence, the rhombus has two lines of symmetry and is symmetrical about its diagonals AC and BD.