Question

Identify the similarities and differences between a square and a rhombus . • Thinks to consider: Congruent sides, congruent angles, congruent diagonals, parallel sides, perpendicular sides, perpendicular diagonals, diagonals that bisect each other, etc.​

Answer 1

Explanation:

Similarities:

• Both a rhombus and a square have 4 congruent sides.
• Both a rhombus and a square have 2 pairs of opposite parallel sides.
• Both a rhombus and a square have perpendicular diagonals.
• Both a rhombus and a square have diagonals that bisect each other.
• Both a rhombus and a square have diagonals that bisect the angles from which they are drawn.

Differences:

• A square has 4 right angles, but a rhombus has 2 pairs of opposite congruent angles (but these opposite angles don't have to be right angles)
• A square has 2 congruent diagonals, but a rhombus doesn't necessarily need to have congruent diagonals.
• A square has consecutive sides that are perpendicular, but this doesn't need to be true for a rhombus.