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Which statement is NOT true about a rhombus?

A. It has four congruent sides.
B. It has two pairs of parallel sides.
C. It has four congruent angles.
D. It is a parallelogram.

Sagot :

Answer:

C. It has four congruent angles.

Step-by-step explanation:

Answer:   C) It has four congruent angles

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Explanation:

A) This statement is true, so we can rule it out. A rhombus by definition has four sides the same length. Think of a square but the sides can be slanted or the angles could be something different from 90 degrees.

B) This statement is true. The opposite sides of a rhombus are always parallel. Any rhombus is always a parallelogram, but not the other way around.

C) False. This is the answer. We could have a square, and in which case we have four congruent angles. But we could slant the sides and have the angles be something else. All that matters is that all four sides are the same length.

D) True. Any rhombus is a parallelogram as mentioned in part B. However, some parallelograms are not a rhombus. Consider any rectangle in which the length and width are not the same. The sides are parallel, but we don't have all four sides the same length.

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