\(\textbf{Detailed step-by-step solution: }\)
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.
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1607668/original_11_a.JPG)
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.
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1607671/original_11_b.JPG)
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.