graph a triangle abc after 90° clockwise rotation

Question

If a is (4,-3) and B is (4,0) and if C is (8,0)

Answer 1

To graph the triangle ABC after a 90° clockwise rotation:

First, plot the original triangle ABC. The points are:
A(4,-3)
B(4,0)
C(8,0)

With these coordinates, the triangle ABC looks like this:
```
|
A
|\
| \
| \
C--|---B
```

Next, apply a 90° clockwise rotation to each of the points.

To rotate a point (x, y) 90° clockwise, the new coordinates (x', y') can be found using the following formulas:
x' = y
y' = -x

Applying the rotation to each point:
A'(y', x') = (3, 4)
B'(y', x') = (0, 4)
C'(y', x') = (0, 8)

Now, plot the new triangle A'B'C' with the rotated points:
```
|
A'
|\
| \
| \
C'--|---B'
```

The new triangle A'B'C' after a 90° clockwise rotation is:
A'(3, 4)
B'(0, 4)
C'(0, 8)