The direct variation.

The video tutorial explains the concept of variation using an equilateral triangle. It demonstrates how the perimeter of the triangle changes with different side lengths and establishes a constant ratio of perimeter to side length. The tutorial concludes with a graphical representation of this relationship, showing it as a straight line through the origin.

What is the defining characteristic of an equilateral triangle?

• All sides are of different lengths.

• All sides are of equal length.

• It has two equal sides.

• It has one right angle.

If the side length of an equilateral triangle is 2, what is its perimeter?

• 4

• 10

• 6

• 8

What happens to the perimeter of an equilateral triangle when the side length is tripled?

• The perimeter remains the same.

• The perimeter doubles.

• The perimeter triples.

• The perimeter quadruples.

What is the result when the perimeter of an equilateral triangle is divided by its side length?

• 4

• 3

• 2

• 1

How is the relationship between the perimeter and side length of an equilateral triangle represented graphically?

• As a curved line.

• As a straight line through the origin.

• As a horizontal line.

• As a vertical line.