2018 · Q97
In the figure given below, p, q, r are parallel lines; l and m are two transversals. Consider the following:
- 1AB:AC = DE:DF
- 2AB × EF = BC × DE
Which of the above is/are correct?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2
Explanation
Parallel lines cut by transversals give AB/BC = DE/EF (intercept theorem). Statement 1, AB/AC = DE/DF, follows from the same proportion, and statement 2, AB × EF = BC × DE, is just the cross-multiplied form. Both are correct, option (C).