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.
رقم الاختبار989
الصفالصف التاسع المتقدم
المادةرياضيات
الفصلالفصل الثالث
السنة الدراسية2025/2026
عدد الأسئلة10
إجمالي النقاط10
تاريخ الإضافة2026-04-23
الزيارات154
الناشرMaya Dayoub
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
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
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
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
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
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
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
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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