Question

A polygon is graphed on the coordinate grid.

The polygon can be composed into two triangles to determine the area of the polygon.


Which decomposition of two triangles represents the area of the polygon?

The area of triangle ABF plus the area of triangle BCD

The area of triangle ABE plus the area of triangle BCE

The area of triangle ADE plus the area of triangle CFE catitions


The area of triangle ABE plus the area of triangle CFE
Question 2.b

Answer 1

I can’t pick the correct decomposition without seeing the graph (or the coordinates of A, B, C, D, E, F). Could you either:

- Upload the picture of the graphed polygon, or
- Give the coordinates of the vertices in order?

If you want to decide it yourself, here’s how to check any choice quickly:

1. The two triangles must be entirely inside the polygon and together exactly cover the polygon (no overlap, no gaps).
2. That means they should share a common diagonal of the polygon (a segment joining two non‑adjacent vertices that lies inside the polygon).
3. Check each answer: draw the two triangles and verify (a) their union equals the polygon shape and (b) neither triangle sticks outside the polygon.

Send the image or coordinates and I’ll pick the correct option.