When the reflected vertices are plotted, they take the shape of the image given in the graph. Note that the reflected points are: A' (3, 2), B' (4, -1), and C' (-1, 1).
To plot the vertices A(-3, 2), B(-4, -1), and C(1, 1) of triangle ABC and reflect it in the y-axis, follow these steps:
1. Plotting the Original Triangle (ABC):
- A(-3, 2): Plot a point at (-3, 2).
- B(-4, -1): Plot a point at (-4, -1).
- C(1, 1): Plot a point at (1, 1).
- Connect the points to form triangle ABC.
2. Reflecting in the Y-axis:
- To reflect a point in the y-axis, change the sign of its x-coordinate while keeping the y-coordinate unchanged.
- The image points (A', B', C') after reflecting will have the following coordinates:
- A' (3, 2)
- B' (4, -1)
- C' (-1, 1)
3. Plotting the Reflected Triangle (A'B'C'):
- Plot the reflected points A' (3, 2), B' (4, -1), and C' (-1, 1).
- Connect the reflected points to form the reflected triangle A'B'C'.
Your final graph will show the original triangle ABC and its reflection in the y-axis.