\(\textbf{Detailed step-by-step solution: }\)
In this pattern, 3 shapes are growing and repeating in a particular order.
Also, there are three colors—blue, yellow, and green—that are repeating in that order.
There is 1 triangle, 1 quadrilateral, and 1 pentagon followed by 2 triangles, 2 quadrilaterals, and 2 pentagons.
The shapes, triangle, quadrilateral, and pentagon are repeating in that order. Also, the number of triangles, quadrilaterals, and pentagons are increasing by 1 as the order is repeating.
In this pattern, two shapes are missing after 3 triangles, followed by a quadrilateral and pentagon. Also, the last two shapes are missing.
So, the complete pattern without the colors will be as shown below.
Now, as we have the complete shape pattern, let us identify the correct colors for the missing shapes.
Here the colors—blue, yellow, and green, are repeating in a particular order.
So, the complete pattern with the colors will be as shown below.
Therefore, the missing shapes in the pattern will be a blue quadrilateral, yellow quadrilateral, yellow pentagon, and green pentagon.
Hence, Option A is the correct answer.