Advertisements
Advertisements
Question
If one pair of opposite sides of a quadrilateral are equal and parallel then it is a ______.
Options
isosceles trapezium
rhombus
kite
parallelogram
MCQ
Fill in the Blanks
Advertisements
Solution
If one pair of opposite sides of a quadrilateral are equal and parallel then it is a parallelogram.
Explanation:
A quadrilateral with one pair of opposite sides that are both equal and parallel is defined as a parallelogram.
In a quadrilateral ABCD, if AB = CD and AB || CD, then the quadrilateral ABCD is a parallelogram. The proof involves using the Side-Angle-Side (SAS) congruence criterion to show that the diagonal AC divides the quadrilateral into two congruent triangles. This proves that the other pair of opposite sides AD and BC are also equal and parallel.
shaalaa.com
Is there an error in this question or solution?
