Which quadrilateral has diagonals that are perpendicular bisectors of each other
Practice Questions
Q1
Which quadrilateral has diagonals that are perpendicular bisectors of each other?
Rectangle
Parallelogram
Rhombus
Trapezium
Questions & Step-by-Step Solutions
Which quadrilateral has diagonals that are perpendicular bisectors of each other?
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 be perpendicular. Perpendicular means that the lines meet at a right angle (90 degrees).
Step 4: Understand what it means for diagonals to be bisectors. A bisector divides something into two equal parts.
Step 5: Identify the type of quadrilateral we are looking for. We want a quadrilateral where the diagonals are both perpendicular and bisect each other.
Step 6: Learn about different types of quadrilaterals. Some common types are squares, rectangles, parallelograms, and rhombuses.
Step 7: Discover that in a rhombus, the diagonals meet at right angles (perpendicular) and also cut each other in half (bisectors).
Step 8: Conclude that the quadrilateral with diagonals that are perpendicular bisectors of each other is a rhombus.
