Which of the following statements about a square is false?
Practice Questions
Q1
Which of the following statements about a square is false?
All sides are equal.
All angles are right angles.
Diagonals are equal and bisect each other.
Diagonals are perpendicular to each other.
Questions & Step-by-Step Solutions
Which of the following statements about a square is false?
Step 1: Understand what a square is. A square is a shape with four equal sides and four right angles.
Step 2: Learn about the properties of a square. The diagonals of a square are equal in length, they bisect each other (cut each other in half), and they are perpendicular (they meet at a right angle).
Step 3: Compare the properties of a square to other quadrilaterals (four-sided shapes). Not all quadrilaterals have equal diagonals or perpendicular diagonals.
Step 4: Identify the false statement. The statement says that the diagonals of a square are not necessarily perpendicular in all quadrilaterals, which is true for some quadrilaterals but false for squares specifically.
Step 5: Conclude that the false statement is about the diagonals of a square not being perpendicular, which is incorrect because they are always perpendicular.
