Question

what are the coordinate points of C' if c is transleated left 26 and down 35.
C=(3,-10)

Answer 1

To find the new coordinates of point \( C' \) after translating point \( C(3, -10) \) left by 26 units and down by 35 units, we need to adjust the coordinates of point \( C \).

1. **Translate left by 26**: To translate left, we subtract 26 from the x-coordinate.
\[
x' = 3 - 26 = -23
\]

2. **Translate down by 35**: To translate down, we subtract 35 from the y-coordinate.
\[
y' = -10 - 35 = -45
\]

So, the new coordinates \( C' \) are:
\[
C' = (-23, -45)
\]

Thus, the coordinate points of \( C' \) after the translation are \( (-23, -45) \).