If the diagonals of a quadrilateral bisect each other at right angles, which of
Practice Questions
Q1
If the diagonals of a quadrilateral bisect each other at right angles, which of the following can be concluded?
It is a rectangle.
It is a rhombus.
It is a trapezium.
It is a square.
Questions & Step-by-Step Solutions
If the diagonals of a quadrilateral bisect each other at right angles, which of the following can be concluded?
Step 1: Understand what a quadrilateral is. A quadrilateral is a shape with four sides.
Step 2: Learn about diagonals. Diagonals are lines that connect opposite corners of a quadrilateral.
Step 3: Know what it means for diagonals to bisect each other. This means that the diagonals cut each other in half at their intersection point.
Step 4: Recognize that 'at right angles' means the diagonals intersect at a 90-degree angle, forming a perfect 'L' shape.
Step 5: Remember the properties of a rhombus. A rhombus is a special type of quadrilateral where all sides are equal, and the diagonals bisect each other at right angles.
Step 6: Conclude that if the diagonals of a quadrilateral bisect each other at right angles, it must be a rhombus.
