Reflect the figure over the line y=1/2x-4
As an AI language model, I cannot provide an image for you to reflect over the given line. However, I can provide the steps to reflect a figure over a line.
To reflect a figure over a line, you need to:
1. Draw the line of reflection, in this case, y=1/2x-4.
2. Draw a perpendicular line connecting each point of the figure to the line of reflection.
3. Measure the distance from each point to the line of reflection.
4. Move each point the same distance on the other side of the line of reflection.
5. Draw the reflected figure.
Note: If a point is on the line of reflection itself, it doesn't move during the reflection.
Reflect the figure over the line y=3x+3
As an AI language model, I cannot provide an image for you to reflect over the given line. However, I can provide the steps to reflect a figure over a line.
To reflect a figure over a line, you need to:
1. Draw the line of reflection, in this case, y=3x+3.
2. Draw a perpendicular line connecting each point of the figure to the line of reflection.
3. Measure the distance from each point to the line of reflection.
4. Move each point the same distance on the other side of the line of reflection.
5. Draw the reflected figure.
Note: If a point is on the line of reflection itself, it doesn't move during the reflection.
To reflect a figure over the line y = (1/2)x - 4, you can follow these steps:
1. Draw the original figure and mark the line of reflection, y = (1/2)x - 4.
2. Determine the distance between each point of the figure and the line of reflection. This distance will be perpendicular to the line of reflection.
3. Move each point the same distance on the opposite side of the line of reflection. Ensure that the distance is measured perpendicular to the line.
4. Connect the new positions of the points to form the reflected figure.
Here's an example to illustrate the steps:
Original figure:
```
* *
* *
*
```
Line of reflection: y = (1/2)x - 4
1. Draw the original figure and mark the line of reflection:
```
* *
* *
*
y = (1/2)x - 4
```
2. Determine the distance between each point of the figure and the line of reflection. Let's take the top-left point as an example:
```
|
| ***
|
|
|
-------------------------- y = (1/2)x - 4
|
```
The distance between the point and the line of reflection is the perpendicular distance shown by the three asterisks (***).
3. Move each point the same distance on the opposite side of the line of reflection. The distance is measured perpendicular to the line. Let's move the top-left point:
```
|
|
|
|
*** |
-------------------------- y = (1/2)x - 4
|
```
4. Connect the new positions of the points to form the reflected figure:
```
*
*
*
y = (1/2)x - 4
*
```
This is the reflected figure over the line y = (1/2)x - 4.