Given points J(2,4), A(4,6), and R(3,2), graph JAR and its reflection image across the given line.
the x-axis
To graph JAR and its reflection image across the x-axis, we first plot the points J(2,4), A(4,6), and R(3,2) on a coordinate plane.
Here is the original JAR:
J(2,4) - labeled as point J
A(4,6) - labeled as point A
R(3,2) - labeled as point R
To find the reflection image across the x-axis, we need to find the reflection of each point. The reflection of a point across the x-axis is found by keeping the x-coordinate the same and changing the sign of the y-coordinate.
Reflection of J(2,4) across the x-axis: (2, -4) - labeled as point J'
Reflection of A(4,6) across the x-axis: (4, -6) - labeled as point A'
Reflection of R(3,2) across the x-axis: (3, -2) - labeled as point R'
Now, we connect the points J, A, and R to form the original JAR triangle, and connect the points J', A', and R' to form the reflection image of the triangle across the x-axis.
Here is the graph of JAR and its reflection image across the x-axis:
```
y
| R'
|
| J'
|
| A'
|
| R
|
| J
|
| A
|__________________________ x
```
Note: The x-axis is the horizontal line where all the points are reflected. The reflection image is simply a mirror image of the original triangle across the x-axis.