QQuestionAnatomy and Physiology
QuestionAnatomy and Physiology
# True or False?
| Every rectangle is a parallelogram. | True |
| --- | --- |
| | False |
| Every rhombus is a parallelogram. | True |
| | False |
| Every quadrilateral is a square. | True |
| | False |
| Every rectangle with four congruent sides is a square. | True |
| | False |
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Answer
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Step 1I'll solve this problem step by step, carefully analyzing each statement about quadrilaterals.
Step 2: Every rectangle is a parallelogram
- A rectangle has two pairs of parallel sides - By definition, a parallelogram is a quadrilateral with opposite sides parallel - Therefore, every rectangle satisfies the definition of a parallelogram
Final Answer
Step 2: Every rhombus is a parallelogram - A rhombus has four equal sides - All sides of a rhombus are parallel to their opposite side - This means a rhombus meets the definition of a parallelogram Step 3: Every quadrilateral is a square - A quadrilateral is any four-sided polygon - A square requires specific conditions: 1. Four equal sides 2. Four right angles - Not all quadrilaterals meet these conditions Step 4: Every rectangle with four congruent sides is a square - A rectangle with four congruent sides has: 1. Four equal sides 2. Four right angles - These are precisely the definition of a square 1. True 2. True 3. False 4. True
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