Question

If an even number of triangles are arranged next to each other in the following pattern, how many sides will the resulting polygon have?

• A. 3
• B. 4
• C. 6
• D. cannot be determined

Answer 1

The correct option is B 4

The number of total triangles used is not given in the question. However, we know that the number is even.
Let us arrange 2 triangles according to the pattern:
As we can see, the resulting polygon is a quadrilateral.
Let us arrange 4 triangles according to the pattern:
As we can see, the resulting polygon is still a quadrilateral.
If we arrange 6 triangles in the same pattern, we will still get a quadrilateral. So, if the number of triangles used is even, then the resulting polygon will always be a quadrilateral.