ISEE Quantitative Comparisons Question 77: Answer and Explanation
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Question: 77
 Parallelogram ABCD E is a point on AB | |
| Column A | Column B |
| Area of ΔDEC | Area of ΔAED + Area of ΔEBC |
- A. if the quantity in Column A is greater
- B. if the quantity in Column B is greater
- C. if the quantities are equal
- D. if the relationship cannot be determined from the information given
Correct Answer: C
Explanation:
The correct answer is (C). A triangle inscribed in a parallelogram is equal in area to one half the parallelogram. Therefore, the area of 
DEC equals the combined areas of 
ADE and 
EBC.