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كويز تفاعلي: Translations on a Grid
This worksheet provides practice with geometry transformations on a coordinate plane, specifically translations. It involves mapping points using given rules, identifying the difference between a pre-image and an image, and determining algebraic translation rules from graphical representations. Students calculate coordinate shifts for right, left, up, and down movements.
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يرجى الانتباه إلى أن المعلم قام بإعداد الأسئلة فقط، ولم يقم بإعداد الإجابات أو الشروحات المرفقة. وقد تم توليد الإجابات باستخدام تقنيات الذكاء الاصطناعي، لذلك قد تتضمن بعض الأخطاء أو عدم الدقة.
للحصول على الإجابات الصحيحة والمضمونة، يُرجى الرجوع إلى المعلم أو المصدر الدراسي المعتمد.
Question 1
DB question no.: 1
Points: 1
What is the image of point W (3,-2) if it translated \right 3 and down 5
In geometry, the 'pre-image' refers to the original shape or point before any transformation (like translation, rotation, or reflection) is applied.
Question 3
DB question no.: 3
Points: 1
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
Explanation
By observing vertex A at (-2, 5) and its corresponding image A' at (3, -3), the x-coordinate increased by 5 units (-2 + 5 = 3) and the y-coordinate decreased by 8 units (5 - 8 = -3).
Question 4
DB question no.: 4
Points: 1
Determine how to get triangle A'B'C' when triangle ABC is translated.
Explanation
Comparing vertex A at (6, -2) to its image A' at (4, 7), the x-coordinate decreased by 2 units (6 - 2 = 4) and the y-coordinate increased by 9 units (-2 + 9 = 7).
Question 5
DB question no.: 5
Points: 1
How would you translate point P to P'?
Explanation
Point P is located at (-4, 5) and point P' is at (-2, -3). The movement involves shifting 2 units to the \right (x: -4 to -2) and 8 units down (y: 5 to -3).
Question 6
DB question no.: 6
Points: 1
What transformation is happening? \((x, y) \rightarrow (x + 2, y - 3)\)
In the rule (x + 2, y - 3), the '+2' on the x-axis represents a slide to the \right by 2 units, and the '-3' on the y-axis represents a slide down by 3 units.
Question 7
DB question no.: 7
Points: 1
Write the rule for this translation: Slide 3 up and 2 right
A translation is a type of transformation that moves every point of a figure the same distance in the same direction without resizing, flipping, or turning it.
Question 9
DB question no.: 9
Points: 1
Point M (-3, 5) is translated using this rule: \((x, y) \rightarrow (x - 1, y)\). What are the coordinates of M'?
Following the rule (x+3, y-1), we add 3 to the x-coordinate (4 + 3 = 7) and subtract 1 from the y-coordinate (2 - 1 = 1), resulting in the point (7, 1).
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