Triangle ABC and triangle CDE are similar right triangles. Which proportion can be used to show that the slope of AC is equal to the slope of CE? A) 6 − 3−3 − 1= 3 − (−3)−1 − 3 B) 6 − 3−3 − (−1)= 3 − 3−1 − 3 C) 6 − 3−3 − (−1)= 3 − (−3)−1 − 3 D) −3 − (−1)6 − 3= 3 − (−3)−1 − 3

Answer:Option C is the correct option. Step-by-step explanation:Considering the triangle ABC, the slope of the line CA is given by [tex]\frac{AB}{BC} = \frac{6 - 3}{-3 - (- 1)}[/tex]Again, considering the triangle CDE, the slope of the line EC is given by [tex]\frac{CD}{DE} = \frac{3 - (- 3)}{- 1 - 3 }[/tex]Since CA and EC represents the same straight line so, we can write [tex]\frac{6 - 3}{-3 - (- 1)} = \frac{3 - (- 3)}{- 1 - 3 }[/tex]Therefore, option C is the correct option. (Answer)