Question

A triangle is graphed by joining three plotted points on the first quadrant of a coordinate plane. The x and y axes range from 0 to 10 in increments of 2.
What is the area of the triangle in square units?

(1 point)
Responses

6
6

15
15

18
18

9

Answer 1

I don't have the diagram or the coordinates of the three plotted points, so I can't pick the correct numeric choice yet. Could you either

- paste or upload the graph, or
- tell me the three coordinates (e.g. (2,6), (8,4), (4,10))?

If you want to work it out yourself, here are two quick methods:

1) Shoelace formula (works for any triangle)
Area = 1/2 | x1(y2 − y3) + x2(y3 − y1) + x3(y1 − y2) |.

2) If the triangle is right-angled with base and height along the grid axes:
Area = 1/2 × base × height.

Note: the grid ticks are at 0,2,4,...,10, so read the coordinates directly from those labels (each small grid step = 2 units). If you count grid squares instead, remember each square represents 2×2 = 4 square units.

Send the coordinates or the image and I’ll compute the area and pick the correct choice.