Graph the image of the given figure across the mirror line.

It looks like you've uploaded a worksheet titled "Mirror Images" that asks students to graph the image of given figures across the mirror line (which is typically a line of reflection, such as the x-axis, y-axis, or a diagonal).

Since I can't view images directly, I can’t see the specific figures or mirror lines in your worksheet. However, I can help you solve this type of problem and explain how to approach it step by step.

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🔍 Problem Type: Reflecting Shapes Across a Mirror Line

In these types of problems:
- You are given a shape (like a triangle, rectangle, or irregular figure) on a coordinate grid.
- A mirror line (line of reflection) is drawn (e.g., x-axis, y-axis, y = x, or another line).
- You must draw the reflection (mirror image) of the shape across that line.

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✔ Step-by-Step Solution Method:

#### 1. Identify the Mirror Line
- Look at the dashed or solid line labeled as the "mirror line."
- Common mirror lines:
- x-axis: horizontal line (y = 0)
- y-axis: vertical line (x = 0)
- y = x: diagonal from bottom-left to top-right
- y = -x: diagonal from top-left to bottom-right
- Other lines (e.g., y = 2, x = -3)

#### 2. Plot the Coordinates of the Original Shape
- Identify the coordinates of each vertex of the figure.
- Example: If a triangle has points at (1, 2), (3, 2), and (2, 4), write them down.

#### 3. Reflect Each Point Across the Mirror Line
Use the rules for reflections:

| Mirror Line | Reflection Rule |
|------------|-----------------|
| x-axis (y=0) | (x, y) → (x, -y) |
| y-axis (x=0) | (x, y) → (-x, y) |
| y = x | (x, y) → (y, x) |
| y = -x | (x, y) → (-y, -x) |

For other lines (like y = 2), you need to find the perpendicular distance from the point to the line and reflect it the same distance on the other side.

#### 4. Plot the Reflected Points
- Mark the new coordinates on the grid.

#### 5. Connect the Reflected Points
- Draw the reflected shape using the reflected vertices.

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📌 Example:

Suppose you have a triangle with points:
- A(1, 2)
- B(3, 2)
- C(2, 4)

And the mirror line is the x-axis.

Then the reflected points are:
- A'(1, -2)
- B'(3, -2)
- C'(2, -4)

Plot these and connect them to form the mirror image.

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💡 Tips:

- Always check that the distances from the original point to the mirror line are equal to the distance from the reflected point to the mirror line.
- The reflected shape should be congruent (same size and shape) but flipped.
- Use a ruler to ensure straight lines and accurate plotting.

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❓How Can I Help You Further?

If you describe:
- The shape(s) in one of the problems,
- The mirror line,
- Or provide coordinates,

I can walk you through solving a specific question from the worksheet.

Alternatively, if you can describe one of the grids (e.g., “There’s a triangle with vertices at (1,1), (1,3), (3,1), and the mirror line is the y-axis”), I’ll give you the exact solution.

Let me know!