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Question

Why can't a parallelogram and a rhombus, as shown in the figure never be congruent?


A
They have unequal side lengths.
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B
They have unequal vertex angles.
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C
No, they are congruent.
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Solution

The correct option is A They have unequal side lengths.
Concept: For two figures to be congruent, they must have equal shape as well as size.

In a parallelogram, the opposite sides are equal.
In the given figure, two sides of the parallelogram measures 8 cm, but the other two are of 6 cm in length.

However, for a rhombus, all the four sides are equal in length, in this case 6 cm.

Also, the corresponding angles can be same as it is not mentioned.

They cannot be congruent.

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