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categoryرياضيات schoolبكالوريوس event_available2026-07-13

السؤال

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9. For the given triangle AABC = A(0,0) (1,0) (0,2), find the image, AA'B'C', of AABC under each of the following isometries: (1) Translation through vector = (5,0). (2) Translation of 2√2 units at 45° into the first quadrant. Hint: what is the translation vector? (3) Rotation of 90° about the point (3,0). (4) Rotation of -45° about the point (3,0). (5) Reflection with respect to line, m: y = 0. (6) Reflection with respect to line, m: y = x. (7) Reflection with respect to line, m: y + x = 4. (8) Half turn about (3,0). (9) Half turn about (2,-3). (10) Glide-reflection of 5 units in the positive x-direction with respect to m: y = 2.

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