Question

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