Question: If the diagonals of a quadrilateral bisect each other, which of the following must be true?
Options:
It is a rectangle.
It is a parallelogram.
It is a square.
It is a trapezium.
Correct Answer: It is a parallelogram.
Solution:
A quadrilateral with diagonals that bisect each other is a parallelogram.
If the diagonals of a quadrilateral bisect each other, which of the following mu
Practice Questions
Q1
If the diagonals of a quadrilateral bisect each other, which of the following must be true?
It is a rectangle.
It is a parallelogram.
It is a square.
It is a trapezium.
Questions & Step-by-Step Solutions
If the diagonals of a quadrilateral bisect each other, which of the following must be true?
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 the point where they cross.
Step 4: Recognize that if the diagonals of a quadrilateral bisect each other, it has a special property.
Step 5: This special property means that the quadrilateral is a parallelogram. A parallelogram is a type of quadrilateral where opposite sides are equal and parallel.
Properties of Quadrilaterals – Understanding the characteristics of quadrilaterals, particularly how the properties of diagonals relate to the type of quadrilateral.
Parallelogram Definition – A parallelogram is defined as a quadrilateral with opposite sides that are parallel and equal in length, and its diagonals bisect each other.
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