Given: Triangle ABC is similar to triangle DEF. To prove: Lines BC and EF have the same slope. Proof: Since triangle ABC is similar to triangle DEF, we know that the corresponding angles are equal. Let angle A = angle D, angle B = angle E, and angle C = angle F. We can use the slope formula to find the slope of line BC and line EF. Slope of line BC = (y2 - y1) / (x2 - x1) Slope of line EF = (y4 - y3) / (x4 - x3) Let's assume that point B has coordinates (x1, y1), point C has coordinates (x2, y2), point E has coordinates (x3, y3), and point F has coordinates (x4, y4). By comparing the slopes of line BC and line EF, we can determine if they are equal. If the slopes are equal, then we can conclude that lines BC and EF have the same slope. Therefore, we need to calculate the slopes of line BC and line EF using the given coordinates of the points. Show all your work to receive credit.