Question

Plot three points on the coordinate plane and label them a,b,c (be sure that all three points do not lie in a straight line) now join the points two at a time using straight paths. How many unique straight paths can you make through the points? Which geometric figure is formed?

Answer 1

it would be three lines and the shape would be a triangle

Answer 2

There are three straight paths that constructs a triangle.

According to the Euclidean geometry, a plane is formed by three distinct points, of which one of the them is not collinear with the other two, which means that three lines pass through each corresponding pair of points:

1) A line passes through points A and B. ($l_{1}$)

2) A line passes through points B and C. ($l_{2}$)

3) A line passes through points A and C. ($l_{3}$)

The existence three straight paths (lines) constructs a triangle.

We kindly invite to check this question on triangles: https://brainly.com/question/2269348