The diagram shows a triangle ABC on a coordinate grid. Work out the coordinates of B.
How to approach this question
1. Locate point B on the grid.
2. To find the x-coordinate, start at the origin (O) and move horizontally (left or right) to be directly above or below B. Count the units. Left is negative, right is positive.
3. To find the y-coordinate, start from that x-position and move vertically (up or down) to reach B. Count the units. Down is negative, up is positive.
4. Write the coordinates in the form (x, y).
Full Answer
(-2, -1)
To find the coordinates of point B, we need to determine its position relative to the x-axis and y-axis. The origin (O) is at (0, 0).
1. **Find the x-coordinate:** Starting from the origin, we move 2 units to the left to be vertically aligned with B. Moving left means the x-coordinate is negative. So, x = -2.
2. **Find the y-coordinate:** From the position x = -2 on the x-axis, we move 1 unit down to reach point B. Moving down means the y-coordinate is negative. So, y = -1.
3. **Write the coordinates:** The coordinates are written as (x, y). Therefore, the coordinates of B are (-2, -1).
Common mistakes
✗ Writing the coordinates in the wrong order, e.g., (-1, -2).
✗ Getting the signs wrong, e.g., (2, 1) or (-2, 1).
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