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
• B. 2, 3 and 4
• C. 3, 4 and 5
• D. only 1

Answer 1

The correct option is B

2, 3 and 4

Let us analyze them:

1. Squares have all angles $={90}^{\circ }$, which is not true for rhombuses.
2. Rectangles have opposite sides equal and all angles $={90}^{\circ }$, true for squares.
3. Rectangles have opposite sides equal and parallel, 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.