Question

Points J, K, N are collinear on line F in the coordinate plane. Triangle JNR and triangle KJT are similar. Which proportion demonstrate that the slope of F is the same between any two distinct points? a) JK/JR = NT/NR ​b) JT/NR = KT/JR ​c) JR/JT = KR/KT ​d) KT/KT = JR/JT ​

Answer 1

The proportion that demonstrates the same slope of line F between any two distinct points is JR/JT = KR/KT.

Step-by-step explanation:

In order to demonstrate that the slope of line F is the same between any two distinct points, we need to find a proportion involving the sides of the similar triangles JNR and KJT. The proportion that demonstrates this is option c) JR/JT = KR/KT. This proportion states that the ratio of the corresponding side lengths of the two triangles are equal, which implies that the slopes of line F between any two points are the same.