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Why is it that the statement "all rhombuses are squares" is false, but the statement "all squares are rhombuses" is true? Use an example to help with your explanation.

Respuesta :

Answer:

Step-by-step explanation:

The following are properties of a rhombus:

i) All sides are equal

ii) The diagonals bisect each other at right angle.

iii) Diagonals bisect the angles

iv) Sum of consecutive angles is 180°

The following are properties of a square:

i) All sides are equal

ii) The diagonals bisect each other at right angle.

iii) Diagonals bisect the angles

iv) All angles are right angle

A rhombus is a square only when all its angles are right angles (90°) but all squares are rhombuses because squares have the same property as rhombuses(since All angles are right angles, consecutive angles would add up to 180°). Therefore all rhombuses are not squares but all squares are rhombuses