Given the coordinates of triangle ABC as A(1, 1), B(3, 1), and C(1, 3), perform the following transformations: a) Plot triangle ABC. b) Translate ABC by vector [2, 2] to obtain A'B'C'. Find the coordi

Kuratibu za asili: $A(1, 1)$, $B(3, 1)$, $C(1, 3)$
Vekta ya tafsiri: $T = \begin{pmatrix} 2 \\ 2 \end{pmatrix}$

Kwa nukta $A(x, y)$, picha yake $A'(x', y')$ inapatikana kwa $x' = x + 2$ na $y' = y + 2$.
Kwa A(1, 1):
$A' = (1+2, 1+2) = (3, 3)$

Kwa B(3, 1):
$B' = (3+2, 1+2) = (5, 3)$

Kwa C(1, 3):
$C' = (1+2, 3+2) = (3, 5)$

Kuratibu za A'B'C' ni:
$A' = \boxed{(3, 3)}$
$B' = \boxed{(5, 3)}$
$C' = \boxed{(3, 5)}$

Mstari wa kuakisi ni $X=0$, ambao ni mhimili wa y.

Kwa kuakisi kwenye mhimili wa y, kuratibu ya x hubadilisha ishara, na kuratibu ya y inabaki vile vile.
Ikiwa nukta ni $(x, y)$, picha yake baada ya kuakisi kwenye $X=0$ ni $(-x, y)$.

Kwa A'(3, 3):
$A'' = (-3, 3)$

Kwa B'(5, 3):
$B'' = (-5, 3)$

Kwa C'(3, 5):
$C'' = (-3, 5)$

Kuratibu za A''B''C'' ni:
$A'' = \boxed{(-3, 3)}$
$B'' = \boxed{(-5, 3)}$
$C'' = \boxed{(-3, 5)}$