Answer:
Options (A), (B), (C) and (E).
Step-by-step explanation:
Option (A).
Slope of AC is equal to the slope of BC.
Since, points A, B and C are collinear points,
Slopes of AC and BC will be equal.
True.
Option (B).
Since, points A, B, C and D are collinear points, slope of AC and BD will be equal.
True.
Option (C).
Points A and C are lying on line 't'.
Therefore, slope of line 't' and line AC will be equal.
True.
Option (D).
Slope of 't' = slope of line AC
= [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{AE}{EC}[/tex]
False.
Option (E).
Slope of line 't' = slope of line BD
= [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{FB}{FD}[/tex]
True.
Option (F).
Slope of line 't' = [tex]\frac{AE}{FD}[/tex]
False.
