Question

If a shape is a rhombus, then the diagonals are perpendicular. A square is a rhombus. What is a logical conclusion from the given statements?
A. The sides of a square are perpendicular. B. The diagonals of a square are perpendicular. C. A rhombus is a square. D. The diagonals of a square are not perpendicular.

Answer 1

Answer:

B

Step-by-step explanation:

The diagonals of a square are perpendicular bisectors. So, this is the most correct answer of the given situation.

Answer 2

The logical conclusion from the given statement is the diagonals of a square are perpendicular.(Option B)

• A rhombus and a square  both have sides equal in length. But a rhombus only has its opposite angles equal, and square has all its angles equal to 90 degrees.
• In a rhombus, the diagonals bisect each other at 90° angle. Diagonals also bisect the angles of a rhombus.
• The diagonals of a square are also perpendicular to one another, that is each bisector divides the other in two equal parts.
• Since, they are perpendicular to each other, they create a 90° angle at the point of intersection.

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