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Which of the following statements correctly proves that each angle of a rectangle is a right angle?
  • a)
    Opposite angles of a rectangle are supplementary.
  • b)
    Interior angles on the same side of a transversal in a rectangle are always 90°.
  • c)
    A rectangle is a parallelogram where one angle is a right angle, and all opposite and adjacent angles are equal to 90°.
  • d)
    A rectangle does not follow the property of a parallelogram.
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Which of the following statements correctly proves that each angle of ...
Answer: C
Solution:
A rectangle is a parallelogram where one angle is a right angle (90 degrees). Using the properties of parallelograms:
  1. Interior angles on the same side of the transversal add up to 180 degrees
  2. Opposite angles are equal.
Since one angle is 90 degrees , all other angles (∠B,∠C,∠D)  are also 90 degrees
Correct Answer: (C) A rectangle is a parallelogram where one angle is a right angle, and all opposite and adjacent angles are equal to 90°.
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Which of the following statements correctly proves that each angle of a rectangle is a right angle?a)Opposite angles of a rectangle are supplementary.b)Interior angles on the same side of a transversal in a rectangle are always 90°.c)A rectangle is a parallelogram where one angle is a right angle, and all opposite and adjacent angles are equal to 90°.d)A rectangle does not follow the property of a parallelogram.Correct answer is option 'C'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Which of the following statements correctly proves that each angle of a rectangle is a right angle?a)Opposite angles of a rectangle are supplementary.b)Interior angles on the same side of a transversal in a rectangle are always 90°.c)A rectangle is a parallelogram where one angle is a right angle, and all opposite and adjacent angles are equal to 90°.d)A rectangle does not follow the property of a parallelogram.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements correctly proves that each angle of a rectangle is a right angle?a)Opposite angles of a rectangle are supplementary.b)Interior angles on the same side of a transversal in a rectangle are always 90°.c)A rectangle is a parallelogram where one angle is a right angle, and all opposite and adjacent angles are equal to 90°.d)A rectangle does not follow the property of a parallelogram.Correct answer is option 'C'. Can you explain this answer?.
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