A circle is entirely enclosed within a parallelogram such that all four sides of the parallelogram are tangent to the circle. What specific type of parallelogram must this be?
Show answer & explanation
Correct answer: D
Explanation
In a parallelogram where all four sides are tangent to a circle, the sums of adjacent sides are equal.
Since opposite sides of a parallelogram are equal, this condition is satisfied only when all four sides are equal.
Therefore, such a parallelogram is a rhombus.