Question

3.2 other quadrilaterals
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question 1
penny makes the following statement: \every rhombus is a square.\ do you agree? explain.
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has all sides congruent but not all angles congruent
has 2 sets of parallel and congruent sides
does not have 2 sets of parallel and congruent sides
has 2 sets of parallel sides and 90 degree angles

Explanation:

A rhombus has all sides congruent. But a square requires all sides congruent and all angles congruent (each angle is \(90^{\circ}\)). A rhombus does not necessarily have all angles congruent. For example, a rhombus can have angles of \(60^{\circ}\) and \(120^{\circ}\). The key difference between a rhombus and a square is the angle - condition. A rhombus has 2 sets of parallel sides (by definition of a parallelogram, since a rhombus is a type of parallelogram), but it's the angle property that fails the "every rhombus is a square" statement.

Answer:

No, because a rhombus has all sides congruent but not all angles congruent.