Question

The proof shows that abcd is a square. Which of the following is the missing reason?

1) definition of square
2) definition of rhombus
3) definition of parallelogram
4) definition of rectangle

Answer 1

The correct missing reason to prove that a quadrilateral is a square may depend on whether the quadrilateral's properties of having four equal sides (rhombus) or four right angles (rectangle) are being used in the proof's step.

Step-by-step explanation:

The question relates to the properties of geometric figures, particularly to identifying which definition can be used to prove that a given quadrilateral is a square. A square is defined as a quadrilateral with four equal sides and four right angles.

To prove that a given quadrilateral is a square, we may need to refer to the properties of a rhombus (equilateral quadrilateral) and a rectangle (quadrilateral with right angles) because a square is both a rhombus and a rectangle. The correct missing reason to prove that ABCD is a square would depend on the particular property being evaluated or used in the proof at the step where the reason is missing.