Browse · harp
Printjmc
geometry junior
Problem
Figure is a square. Point is the origin, and point has coordinates (2,2). What are the coordinates for so that the area of triangle equals the area of square ?
NOT TO SCALE
(A)
(B)
(C)
(D)
Solution
The area of is . The area of is . If we set the areas equal, the area of is . Also, note that . Plugging those in, we get: If , and , then , and must be units to the left of the origin. This would be , giving answer .
Final answer
C