Let’s find the area of triangle EFG step by step.
First, look at the coordinates of the points from the graph:
- Point E is at (2, 9)
- Point F is at (2, 2)
- Point G is at (10, 2)
Notice that EF is a vertical line (same x-coordinate), and FG is a horizontal line (same y-coordinate). That means angle at F is a right angle — so this is a right triangle!
In a right triangle, we can use the two legs as base and height to find the area.
Leg EF (vertical side):
From y = 2 to y = 9 → length = 9 - 2 = 7 units
Leg FG (horizontal side):
From x = 2 to x = 10 → length = 10 - 2 = 8 units
Area of a triangle = (base × height) ÷ 2
→ Area = (8 × 7) ÷ 2 = 56 ÷ 2 = 28
Double-check:
We could also count squares on the grid if needed, but since it’s a right triangle with clear leg lengths, multiplication and division are faster and accurate.
Final Answer:
28
Parent Tip: Review the logic above to help your child master the concept of perimeter and area in the coordinate plane worksheet.
