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
الزيارات7
المعلم أو الناشرMaya Dayoub
اختر إجابة واحدة لكل سؤال. عند الاختيار ستظهر النتيجة فورًا: الأخضر صحيح، والأحمر خطأ، وسيظهر تفسير الإجابة مباشرة إن كان متوفرًا. وبعد آخر سؤال ستظهر الدرجة النهائية تلقائيًا.
Question 1
Points: 1
What is the image of point W \((3,-2)\) if it translated \right 3 and down 5
Explanation
Translating a point right 3 units increases the x-coordinate by 3 (3 + 3 = 6). Translating down 5 units decreases the y-coordinate by 5 (-2 - 5 = -7).
Question 2
Points: 1
The original figure prior to a transformation.
Explanation
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? \((x, y) \rightarrow (x + 2, y - 3)\)
Explanation
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
Explanation
A slide of 2 units to the \right adds 2 to the x-coordinate \((x+2)\), and a slide of 3 units up adds 3 to the y-coordinate \((y+3)\).
Question 8
Points: 1
A transformation in which a graph or geometric figure is picked up and moved to another location without any change in size or orientation.
Explanation
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'?
Explanation
Applying the rule \((x-1, y)\) to point \((-3, 5)\) means subtracting 1 from the x-coordinate \((-3 - 1 = -4)\) and keeping the y-coordinate the same (5).
Question 10
Points: 1
Point K \((4, 2)\) is translated using this rule: \((x, y) \rightarrow (x + 3, y - 1)\). What are the coordinates of K'?
Explanation
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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