(x, y + 7) (x, y 6) – (x + 3, y 7) – (x 3, y 7) – – (x + 5, y + 8) EXAMPLE 1: What are the coordinates of: is translated 1 unit right and 4 units up. ΔABC Draw the image (1, -3) _________ A A’ ΔA’B’C’. ↦ (3, 0) _________ B B’ ↦ (4, -2) C C’__________ ↦ From EXAMPLE 1, ΔABC ΔA’B’C’ ↦ As a general rule this translation could be written as: (x, (x + ___, + ___). y) y ↦ EXAMPLE 2: (0, 2) _________ J J’ ↦ has coordinates: ΔJKL (3, 4) _________ K K’ ↦ (0, 2), (3, 4), and (5, 1). J K L Draw (5, 1) ΔJKL. L L’__________ ↦ Draw the image after a translation of 4 ΔJ’K’L’ Rule: (x, ( , ) y) ↦ units to the left and 5 units up. Label the triangle. Tell me more about this figure, is it congruent or similar? Explain how you know. EXAMPLE 3: Write a general rule which describes the translation shown below. is the original triangle. ΔLMN M = L = N = M’ = L’ = N’ =
(x, y + 7) (x, y – 6) (x + 3, y – 7) (x – 3, y – 7) (x + 5, y + 8) EXAMPLE 1: ΔABC is translated 1 unit right and 4 units up. Draw the image ΔA’B’C’. What are the coordinates of: A (1, -3) ↦ A’ _________ B (3, 0) ↦ B’ _________ C (4, -2) ↦ C’__________ From EXAMPLE 1, ΔABC ↦ ΔA’B’C’ As a general rule this translation could be written as: (x, y) ↦ (x + ___, y + ___). EXAMPLE 2: ΔJKL has coordinates: J (0, 2), K (3, 4), and L (5, 1). Draw ΔJKL. Draw the image ΔJ’K’L’ after a translation of 4 units to the left and 5 units up. Label the triangle. J (0, 2) ↦ J’ _________ K (3, 4) ↦ K’ _________ L (5, 1) ↦ L’__________ Rule: (x, y) ↦ ( , ) Tell me more about this figure, is it congruent or similar? Explain how you know. EXAMPLE 3: Write a general rule which describes the translation shown below. ΔLMN is the original triangle. M = L = N = M’ = L’ = N’ =
day_26__translations_cw.docx