Is the following statement true or false.
A shape has diagonals with slopes that are negative reciprocals and opposites sides with equal lengths and equal slopes must be a square.
(1 point)
Responses
True
True
False
False
Question 2
Explain your reasoning.
The statement is false.
A shape having diagonals with slopes that are negative reciprocals does not necessarily mean that the shape is a square. There are other shapes, such as rectangles and rhombuses, that can have diagonals with negative reciprocal slopes.
Additionally, having opposite sides with equal lengths and equal slopes also does not guarantee that the shape is a square. This condition can also apply to other quadrilaterals, such as parallelograms, that have equal side lengths and equal slopes.