Question

A line and two triangles are shown on the coordinate plane. 941 69 8 7 6 5 4 3 2 1 G F 62 -9 8 7 6 5 4 3 2 1 1 2 3 4 5 -7 7 8 E لم ل ح A B -5 -6 D С N -8 )) The slope between D and B is the same as the slope between E and F. Choose the correct justification for this fact.

Answer 1

Brown, this is the solution:

Step 1: Let's calculate the slope for DB:

Point D = (-5, -6)

Point B = ( 1, -3)

m = -3 - -6/ 1 - -5

m = 3/6

m = 1/2

Step 2: Let's calculate the slope for EF:

Point E = (3, -2)

Point F = (7, 0)

m = 0 - -2/7 - 3

m = 2/4

m = 1/2

Step 3: Triangles DCB and FGE are similar

Step 4: The ratio CD/DC (1/2) is equal to the ratio GE/FG (1/2)

Therefore, the correct answer is B.