Question

A triangle has the coordinates X(1, 2), Y(3, 0), and Z(6, 4). What would the new coordinates be if each is reflected about the y-axis?

Answer 1

To reflect a triangle about the y-axis, we need to change the sign of the x-coordinate while keeping the y-coordinate the same. The new coordinates of the triangle are (-1, 2), (-3, 0), and (-6, 4).

Step-by-step explanation:

To reflect a point about the y-axis, we need to change the sign of the x-coordinate while keeping the y-coordinate the same. Let's apply this to each vertex of the triangle:

1. For point X(1, 2): The new x-coordinate will be -1 and the y-coordinate will remain the same, so the new coordinates are (-1, 2).
2. For point Y(3, 0): The new x-coordinate will be -3 and the y-coordinate will remain the same, so the new coordinates are (-3, 0).
3. For point Z(6, 4): The new x-coordinate will be -6 and the y-coordinate will remain the same, so the new coordinates are (-6, 4).

Therefore, the new coordinates after reflecting the triangle about the y-axis are (-1, 2), (-3, 0), and (-6, 4).