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Question

Find which of the following are true:

1. All rhombuses are squares

2. All squares are rectangles

3. All rectangles are parallelograms

4. All parallelograms are quadrilaterals

5. All parallelograms are rhombuses


A

1, 2 and 3

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B

2, 3 and 4

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C

3, 4 and 5

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D

All of them

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Solution

The correct option is B

2, 3 and 4


Let us analyse them:

  1. Squares have all angles = 90º, which is not true for rhombuses.
  2. Rectangles have opposite sides equal and all angles 90º, true for squares.
  3. Rectangles have opposite sides equal, true for parallelograms.
  4. Parallelograms have 4 sides, true for quadrilaterals.
  5. Parallelograms may have unequal sides, not true for rhombuses.

So, only 2, 3 and 4 are true.


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