Advertisements
Advertisements
Question
Assertion: AB || DC in the figure. Area of ΔAOD = Area of ΔBOC.
Reason: Two Δs on the same base and between the same parallel lines have equal area.
Options
Both A and R are true and R is the correct reason for A.
Both A and R are true but R is the incorrect reason for A.
A is true but R is false.
A is false but R is true.
MCQ
Assertion and Reasoning
Advertisements
Solution
Both A and R are true and R is the correct reason for A.
Explanation:
- ABCD is a trapezium with AB || DC.
- Diagonals AC and BD intersect at O.
- It is proven that the area of ΔAOD = area of ΔBOC.
The reason for this is based on the geometric property that two triangles on the same base (or equal bases) and between the same parallel lines have equal area.
Therefore, Both A and R are true and R is the correct reason for A.
shaalaa.com
Is there an error in this question or solution?
