If we double the sides of a hexagon, the sum of all interior angles will? Is the question referring to the side lengths of the hexagon or the no. Of sides?
If you double each side of the hexagon, you will simply get a similar figure. The angles of two similar figures have corresponding equal angles.
The sum of the interior angles is still 720°
So how do we know whether it is referring to the no. Of sides or the side length
I think it implies that it remains a hexagon, but it is indeed not clear.
The question is referring to doubling the side lengths of a hexagon. When we say "double the sides of a hexagon," it means multiplying each side length by 2.
To understand how doubling the sides of a hexagon affects the sum of its interior angles, we need to know a formula related to polygons.
In a regular polygon, like a hexagon, the sum of the interior angles can be found using the formula:
Sum of Interior Angles = (n - 2) * 180 degrees,
where "n" represents the number of sides of the polygon.
A hexagon has 6 sides, so substituting "n" in the formula, we get:
Sum of Interior Angles = (6 - 2) * 180 degrees = 4 * 180 degrees = 720 degrees.
Now, if we double the sides of the hexagon, each side will become twice as long. However, the number of sides will still be 6.
Doubling the side lengths of a hexagon does not affect the number of sides it has, so the sum of the interior angles will remain the same. Hence, the sum of all interior angles of the doubled hexagon will still be 720 degrees.