the coordinates of points A,B,C in the triangle ABC is A=2,3 B=6,3 C=2,6 choose a translation of 3 units to the left adjust the x coordinates of A,B and c by subtracting 3 label the new points as A',B' and C'

Answer 1

To translate the points A, B, and C 3 units to the left, we will subtract 3 from the x-coordinates of each point.

The original coordinates of the points are:

• \( A(2, 3) \)
• \( B(6, 3) \)
• \( C(2, 6) \)

Now, we perform the translation:

1. For point \( A \): \[ A' = (2 - 3, 3) = (-1, 3) \]

2. For point \( B \): \[ B' = (6 - 3, 3) = (3, 3) \]

3. For point \( C \): \[ C' = (2 - 3, 6) = (-1, 6) \]

Now, we label the new points:

• \( A'(-1, 3) \)
• \( B'(3, 3) \)
• \( C'(-1, 6) \)

So the new coordinates after the translation are:

• \( A'(-1, 3) \)
• \( B'(3, 3) \)
• \( C'(-1, 6) \)