QQuestionMathematics
QuestionMathematics
"Choose Yes or No to tell if each statement is true.
A rhombus is a trapezoid.
Yes
No
A parallelogram has exactly 1 pair of parallel sides.
Yes
No
A rectangle is also a rhombus.
Yes
No
A rectangle is also a parallelogram.
Yes
No"
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Answer
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Step 1:I'll solve this problem step by step, carefully following the LaTeX formatting guidelines:
Step 2:: Analyze the statement "A rhombus is a trapezoid"
- A rhombus is a quadrilateral with four equal sides - A trapezoid is a quadrilateral with exactly one pair of parallel sides - A rhombus does not necessarily have parallel sides that are not equal - Therefore, this statement is FALSE
Step 3:: Analyze the statement "A parallelogram has exactly 1 pair of parallel sides"
- A parallelogram, by definition, has TWO pairs of parallel sides - This statement claims only one pair of parallel sides exists - Therefore, this statement is FALSE
Step 4:: Analyze the statement "A rectangle is also a rhombus"
- A rectangle has four right angles - A rhombus has four equal sides - A rectangle does not necessarily have equal side lengths - Therefore, this statement is FALSE
Step 5:: Analyze the statement "A rectangle is also a parallelogram"
- A rectangle has four right angles - A parallelogram has two pairs of parallel sides - A rectangle meets the definition of a parallelogram - Therefore, this statement is TRUE
Final Answer
A rhombus is a trapezoid: No A parallelogram has exactly 1 pair of parallel sides: No A rectangle is also a rhombus: No A rectangle is also a parallelogram: Yes
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