Question

In $\Delta$ ABC, DE is parallel to BC. Which of the following are correct?

• A. Area of ∆BEC and ∆ BDC are equal.
• B. (1/2)Area of BDEC = Area of ∆BDC
• C. DE is parallel to BC
• D. All of the above

Answer 1

Answer: (C), (D)

The correct options are
C

DE is parallel to BC

D

All of the above

Area of ∆BEC and ∆BDC will be equal as they are on the same base and between same parallel.
Also, Area of ∆BEC - Area of ∆BOC = Area of ∆BDC - Area of ∆BOC.
Thus, Area of ∆DOB = Area of ∆EOC.