Preview of the clear coordinate plane grids designed for dilation exercises.

It looks like you've uploaded a preview image of a worksheet titled "Clear, Easy to Read Coordinate Planes", which contains several dilation problems involving coordinate geometry. However, the actual image is marked with "Preview," so I cannot see the full details of the shapes or coordinates.

But based on what's visible, here’s how to solve such problems and an explanation of the concepts involved:

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🔍 What Is a Dilation?

A dilation is a transformation that changes the size of a figure while keeping its shape the same. It involves:
- A center of dilation (a fixed point)
- A scale factor (how much bigger or smaller the figure becomes)

If the scale factor is greater than 1, the figure gets larger. If it's between 0 and 1, it gets smaller.

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✔ Steps to Solve a Dilation Problem

Let’s go through each problem type shown in your image.

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#### 🔹 Problem 2: Dilate kite EFGH
- Center of dilation: (0, 0)
- Scale factor: 2

How to do it:
1. Identify the coordinates of points E, F, G, H.
2. Multiply each coordinate by the scale factor (2), since the center is at the origin.
- Example: If E = (1, 3), then E' = (1×2, 3×2) = (2, 6)
3. Plot the new points E', F', G', H'.
4. Connect them to form the dilated kite.

> ✔ Rule: When center is (0, 0):
> $$(x, y) \rightarrow (kx, ky)$$
> where $k$ is the scale factor.

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#### 🔹 Problem 7: Dilate rectangle EFGH
- Center of dilation: Point P
- Scale factor: ½

How to do it:
1. Find the coordinates of E, F, G, H.
2. Since the center is not the origin, use the vector method:
- For each point X, calculate the vector from P to X.
- Multiply that vector by the scale factor (½).
- Add the result back to P to get the new point X'.

> Formula:
> $$X' = P + \frac{1}{2}(X - P)$$

Example:
- Let P = (2, 2), E = (4, 2)
- Vector from P to E: (4−2, 2−2) = (2, 0)
- Scale by ½: (1, 0)
- Add to P: (2+1, 2+0) = (3, 2) → E'

Repeat for all points.

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#### 🔹 Problem 4: Dilate triangle LMN
- Center of dilation: (0, 0)
- Scale factor: 2

Same as Problem 2 — just apply:
- Multiply each coordinate of L, M, N by 2.

Example:
- If L = (-1, 1), then L' = (-2, 2)

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🧩 General Tips:

- Always label the original and new points clearly (e.g., E’ for E after dilation).
- Use graph paper to plot accurately.
- Check if the shape is similar (same angles, proportional sides).

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❗ Since the image is a "Preview"

I can’t see exact coordinates or final answers. But if you provide:
- The coordinates of the original points (E, F, G, H, etc.)
- Or describe the locations on the grid

...then I can help you compute the exact dilated coordinates and draw the solution step-by-step.

Would you like to share those details?