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Question

For which of the following figures, all angles are equal?


A

Rectangle

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B

Kite

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C

Trapezium

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D

Rhombus

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Solution

The correct option is A

Rectangle


Explanation for the correct answer

  1. A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all four angles are equal to 90°.
  2. Thus, it is also called an equiangular quadrilateral.

Explanation for the incorrect options:

Option B:

  1. A kite is a quadrilateral whose adjacent sides are equal.
  2. Only one pair of angles are equal.

Hence option B is incorrect.

Option C:

  1. A trapezium is a quadrilateral whose only pair of opposite sides are parallel.
  2. None of its angles are equal to each other except in the special case when the non-parallel sides are mirror images of each other.
  3. In that case, adjacent angles with the parallel side as the common arm are equal.

Hence, option C is incorrect.

Option D:

  1. A rhombus is a quadrilateral whose all four sides are equal.
  2. Its opposite angles are equal.

Hence, option D is incorrect.

Hence, option A is correct.


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