Question

Complete the equations identifying both lines of symmetry.

The lines of symmetry are x = $$ and y = $$

Answer 1

To provide accurate lines of symmetry for a given equation, I would need the specific equation you're working with. Lines of symmetry can be found in various shapes and functions, such as quadratic functions, circles, or more complex geometric figures.

Here's a general way to identify lines of symmetry for commonly encountered equations:

1. **For a quadratic equation** of the form \( y = ax^2 + bx + c \):
- The line of symmetry is given by \( x = -\frac{b}{2a} \).
- This will typically have a vertical line of symmetry because parabolas are symmetric about a vertical line.

2. **For the equation of a circle** in standard form \( (x - h)^2 + (y - k)^2 = r^2 \):
- The lines of symmetry are \( x = h \) and \( y = k \).
- A circle is symmetric about both its vertical and horizontal diameters.

3. **For a rectangle or square** aligned with axes:
- The lines of symmetry will be the vertical and horizontal lines passing through the center.

If you can provide the specific equation or shape you're asking about, I can give you the exact lines of symmetry!