Answer
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Step 1:I'll solve this problem step by step:
Step 2:: Understand the definitions
- A parallelogram is a quadrilateral with opposite sides parallel and equal in length - A rhombus is a special type of parallelogram where ALL sides are equal in length
Step 3:: Analyze the characteristics of a parallelogram
- A parallelogram has: * Opposite sides parallel * Opposite sides equal in length * Opposite angles equal
Step 4:: Analyze the characteristics of a rhombus
- A rhombus has ALL the properties of a parallelogram PLUS: * ALL four sides are equal in length
Step 5:: Identify the shape that meets parallelogram criteria but not rhombus criteria
- A rectangle is a parallelogram - A rectangle has: * Opposite sides parallel * Opposite sides equal in length * Four right angles (90 degrees) * Unequal adjacent side lengths
Step 6:: Confirm the answer
Final Answer
A rectangle is a parallelogram but is NOT a rhombus, because while it has parallel opposite sides, its adjacent sides have different lengths.
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