Respuesta :
Answer:
1.
(a) Reflection of D across x-axis and y-axis: point H
(b) Coordinates: (3.5, -3)
2.
(a) Reflection of L across x-axis: point B
(b) Coordinates: (3.5, 5)
Step-by-step explanation:
1. First, let's reflect D across the x-axis. This means that we're flipping it over the x-axis. Currently, D is at (-3.5, 3). If we flip it over the x-axis, that will result in a change in the y-coordinate, but not the x-coordinate. The y-coordinate becomes -3, so the new point is at (-3.5, -3). Notice that this is G.
Now we need to reflect G over the y-axis. When we flip over the y-axis, the x-coordinate will change this time, while the y-coordinate stays the same. The x-coordinate now is -3.5, but it becomes 3.5, so the new point is (3.5, -3). Notice that this is point H.
2. Reflect L (which is (3.5, -5) across the x-axis means that we flip it over the x-axis. If we do that, the y-coordinate will change, but not the x-coordinate. The current y-coordinate is -5, but it will become 5, so the new point has the coordinates (3.5, 5). Notice that this is point B.