Question

Reflect the given triangle over the line y=-X

TOP (3 6 3)
BOTTOM (-3 3 3)

Answer 1

To reflect a triangle over the line y = -x, swap the x and y coordinates of each vertex, and change their signs. Apply this to obtain the reflected vertices and plot them to verify. This transformational geometry procedure is a common concept in high school mathematics.

Step-by-step explanation:

You want to reflect a triangle over the line y = -x. When reflecting a point over the line y = -x, the x and y coordinates of the point are swapped and their signs are changed. This process is part of transformational geometry in mathematics.

Steps to Reflect the Given Points

1. Take each vertex of the triangle given by its (x, y) coordinates.
2. Write the new coordinates by swapping the x and y values and changing their signs. For a point (a, b), the reflected point will be (-b, -a).
3. Apply this to all points of the triangle.

Applying this procedure:

• For the top point (3, 6), its reflection would be (-6, -3).
• For the bottom point (-3, 3), the reflected point would be (-3, 3).

Make sure to plot these points to verify the reflection visually.