Question

Complete the equations identifying both lines of reflection that will flip the given figure onto itself.

(1 point)
The lines of reflection are x=
and y=

Answer 1

To determine the lines of reflection that will flip a given figure onto itself, you typically need to analyze the symmetry of that figure. When a figure has reflective symmetry, there are usually one or more lines along which you can reflect the figure to obtain the same shape.

### Example Solution
Without a specific figure provided, let’s consider a common example: a square.

For a square, the lines of reflection that will flip the square onto itself can be identified as follows:

1. **Vertical Line:** This line runs down the center of the square. The equation for this line is \(x = c\), where \(c\) is the x-coordinate of the center of the square. For a unit square centered at the origin, this would be \(x = 0\).

2. **Horizontal Line:** This line runs across the center of the square. The equation for this line is \(y = d\), where \(d\) is the y-coordinate of the center of the square. For a unit square centered at the origin, this would be \(y = 0\).

Thus, for a square centered at the origin:

- The lines of reflection are:
- \(x = 0\)
- \(y = 0\)

### General Case
You might need to identify specific coordinates based on the figure in question.

If you provide a specific figure or its vertices, I can give you the exact lines of reflection.