Ethan is proving that the slope between any two points on a straight line is the same. He has already proved that triangles 1 and 2 are similar.Drag statements and reasons to complete the proof.
Accepted Solution
A:
Slope of a line = (y₂ - y₁)/(x₂ - x₁)K' = y₂ - y₁ ( for E & F)L' = x₂ - x₁ ( for E & F)=> Slope from E to F = K'/L'Two triangles are similar=> K/K' = L/L' = DE/EF=> K/K' = L/L'=> K/L = K'/L'=> K'/L' = K/LTriangles are similarK - L = K' - L'Sufficient information is not given but from picture it is clear that slope of line = 1=> K = L & K' = L'hence K - L = 0 & K' - L' = 0=> K - L = K' - L'