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 cation

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

Answer 1

I don’t see the graph, so I can’t pick the correct option directly. Could you either upload a picture of the polygon or list the coordinates of the vertices (in order)?

Meanwhile, here’s how you can decide which pair is correct:

1. List the polygon’s vertices in order around the shape (clockwise or counterclockwise).
2. A decomposition into two triangles means you draw one diagonal between two non‑adjacent vertices that lies entirely inside the polygon.
3. The two triangles must share that diagonal and their union must exactly equal the polygon (no gaps, no overlap).
4. Check each answer choice: see whether the two named triangles share a single diagonal and together cover the polygon. If yes, that choice is the correct decomposition.
5. To compute area once you have the two triangles, use base·height/2 for each or use the shoelace formula on their coordinates, then add the two areas.

If you send the image or coordinates I’ll identify which choice is correct and can compute the area.