The correct answer is: A. Side : Angle

A rectangle is a four-sided polygon with four right angles. The sides opposite each other are of equal length, and the angles opposite each other are of equal measure. A pentagon is a five-sided polygon. The sides of a pentagon can be of any length, and the angles can be of any measure.

A side is a line segment that connects two vertices of a polygon. An angle is the space formed by two sides of a polygon that meet at a vertex.

The relationship between a rectangle and its sides is that the opposite sides are of equal length, and the adjacent sides are perpendicular to each other. The relationship between a pentagon and its angles is that the sum of the interior angles of a pentagon is 540 degrees.

The other options are incorrect because they do not accurately describe the relationship between a rectangle and a pentagon. Option B, diagonal: perimeter, is incorrect because the diagonal of a rectangle is not equal to its perimeter. Option C, triangle: rectangle, is incorrect because a triangle is not a type of rectangle. Option D, circle: square, is incorrect because a circle is not a type of square.