If a quadrilateral has one pair of opposite sides that are both parallel and equ
Practice Questions
Q1
If a quadrilateral has one pair of opposite sides that are both parallel and equal, what can be inferred about the quadrilateral?
It is a trapezium
It is a parallelogram
It is a rectangle
It is a rhombus
Questions & Step-by-Step Solutions
If a quadrilateral has one pair of opposite sides that are both parallel and equal, what can be inferred about the quadrilateral?
Step 1: Understand what a quadrilateral is. A quadrilateral is a shape with four sides.
Step 2: Identify the properties of the sides. In this case, we have one pair of opposite sides that are both parallel and equal in length.
Step 3: Recall the definition of a parallelogram. A parallelogram is a type of quadrilateral where opposite sides are both parallel and equal.
Step 4: Since the quadrilateral has one pair of opposite sides that are parallel and equal, it meets the criteria for being a parallelogram.
Step 5: Conclude that the quadrilateral must be a parallelogram.
Properties of Quadrilaterals – Understanding the characteristics of quadrilaterals, specifically parallelograms, which have opposite sides that are both parallel and equal.
Parallel Lines and Equality – Recognizing that if one pair of opposite sides in a quadrilateral is both parallel and equal, it satisfies the conditions for being a parallelogram.
