Question

Draw the image of triangle ABC after a translation along vector v

(just saying the points' ordered pairs is fine :) )

Answer 1

`A'=(1, 9), \\B'=(6,9),\\C'=(1,4)`

Explanation:

Notice how
`\vec{v}` has a tail at (8,4) and a head at (2,2), which means the x-coordinate is translated 6 units to the left and the y-coordinate is translated 2 units down.

If
`\triangle ABC` were to be translated along this vector, its vertices should follow the vector.

Therefore, the new points of
`\triangle ABC` will be 6 units to the left of their initial x-coordinate and 2 units below their initial y-coordinate.

`A(7, 11)\implies A'(1, 9), \\B(12, 11)\implies B'(6, 9), \\C(7, 6)\implies C'(1, 4)`