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Question

Use the diagram to determine which statement is true.
Responses
A Area(ABCD) - AREA(DGA) = AREA(DEFG)Area(ABCD) - AREA(DGA) = AREA(DEFG)
B Area(ABCD) - AREA(GHIA) = AREA(DGA)Area(ABCD) - AREA(GHIA) = AREA(DGA)
C Area(ABCD) + AREA(DGA) = AREA(GHIA)Area(ABCD) + AREA(DGA) = AREA(GHIA)
D Area(ABCD) + AREA(GHIA) = AREA(DEFG)Area(ABCD) + AREA(GHIA) = AREA(DEFG)
E Area(DEFG) + AREA(GHIA) = AREA(ABCD)

1 answer

The correct statement is:

E Area(DEFG) + AREA(GHIA) = AREA(ABCD)

This is because the sum of the areas of the two smaller triangles (DEFG and GHIA) will equal the area of the larger triangle ABCD.
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