Which of the following statements about a rhombus is false?
Practice Questions
Q1
Which of the following statements about a rhombus is false?
All sides are equal.
Opposite angles are equal.
Diagonals bisect each other at right angles.
All angles are right angles.
Questions & Step-by-Step Solutions
Which of the following statements about a rhombus is false?
Step 1: Understand what a rhombus is. A rhombus is a type of quadrilateral (four-sided shape) where all four sides are of equal length.
Step 2: Learn about the properties of a rhombus. In a rhombus, the diagonals (the lines connecting opposite corners) bisect each other at right angles (they cross each other at 90 degrees).
Step 3: Check the angles in a rhombus. While the sides are equal and the diagonals bisect at right angles, the angles in a rhombus are not necessarily all right angles (90 degrees). They can be acute (less than 90 degrees) or obtuse (more than 90 degrees).
Step 4: Identify the false statement. Since not all angles in a rhombus are right angles, any statement claiming that all angles in a rhombus are right angles is false.
