Choose the words to finish the explanation of how you would show that points \( J, K \), and \( L \) form the vertices of a triangle, using coordinate geometry. Use the Distance Formula to find the lengths Choose...

To show that points \( J, K, \) and \( L \) form the vertices of a triangle, use the Distance Formula to find the lengths of each side. The Distance Formula states that the distance \( d \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \). Calculate the distances \( JK, KL, \) and \( LJ \). If these three distances are all positive and the sum of the lengths of any two sides exceeds the length of the third side, then the points form a triangle. Keep in mind that if any two of the distances are equal to the third, the points are collinear and do not form a triangle. Thus, ensuring you understand the triangle inequality theorem is crucial in this proof!