If a quadrilateral has one pair of opposite sides that are both equal and parall
Practice Questions
Q1
If a quadrilateral has one pair of opposite sides that are both equal and parallel, what can be inferred?
It is a trapezium.
It is a parallelogram.
It is a rectangle.
It is a kite.
Questions & Step-by-Step Solutions
If a quadrilateral has one pair of opposite sides that are both equal and parallel, what can be inferred?
Step 1: Understand what a quadrilateral is. A quadrilateral is a shape with four sides.
Step 2: Identify the properties of the sides in the quadrilateral. We are looking for one pair of opposite sides that are equal in length.
Step 3: Check if the same pair of opposite sides are also parallel. Parallel means they never meet, no matter how far they are extended.
Step 4: Recall the definition of a trapezium (or trapezoid in some regions). A trapezium is a quadrilateral that has at least one pair of opposite sides that are parallel.
Step 5: Conclude that if a quadrilateral has one pair of opposite sides that are both equal and parallel, it fits the definition of a trapezium.
Trapezium Properties – A trapezium (or trapezoid) is defined as a quadrilateral with at least one pair of opposite sides that are parallel.
Quadrilateral Classification – Understanding the classification of quadrilaterals based on their sides and angles is crucial for geometry.
