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

You're on a roll — Nitaelewa kuwa "number 2,3,1" unamaanisha sehemu (a), (b), na (c) za swali namba 22. Swali la 22: Kuratibu za pembetatu ABC ni A(1, 1), B(3, 1) na C(1, 3). a) Plot the triangle ABC. Kuratibu za pembetatu ABC ni: A = (1, 1) B = (3, 1) C = (1, 3) Hizi ndizo pointi za kuchora pembetatu ABC. b) Triangle ABC undergoes a translation vector 2 \\ 2 . Obtain the image of A'B'C' under the transformation, write the coordinates of A'B'C'. Step 1: Andika kuratibu za asili na vekta ya tafsiri. Kuratibu za asili: A(1, 1), B(3, 1), C(1, 3) Vekta ya tafsiri: T = 2 \\ 2 Step 2: Tafsiri kila nukta kwa kuongeza vekta ya tafsiri. 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' = (3, 3) B' = (5, 3) C' = (3, 5) c) A'B'C' undergoes a reflection along the line X=0, obtain the coordinates and plot on the graph points A''B''C'' under the transformation. Step 1: Tambua mstari wa kuakisi. Mstari wa kuakisi ni X=0, ambao ni mhimili wa y. Step 2: Akisi kila nukta ya A'B'C' kwenye 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'' = (-3, 3) B'' = (-5, 3) C'' = (-3, 5) Tuma swali linalofuata 📸