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If a square is a rhombus and a square is a rectangle, then a rhombus is a rectangle. Is this statement valid or not?

2 Answers

3 votes

Answer:

yes

Explanation:

answered
User Olinda
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8.1k points
5 votes

Answer:

Square: A square is a quadrilateral with four equal sides and four right angles.

Rhombus: A rhombus is a quadrilateral with four equal sides, but the angles are not necessarily right.

Rectangle: A rectangle is a quadrilateral with four right angles, but opposite sides can be different lengths.

Since the square is both a rhombus and a rectangle, this means that it has both the properties of a rhombus (equal sides) and those of a rectangle (right angles). Thus, all features of a rectangle are filled by a square, including equal sides. So a rhombus that has equal sides, by definition, is also a rectangle, because it has four right angles.

Explanation:

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