اختبار اختيار من متعدد 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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اختبار شهادة تدريبي مؤقت للصف والمادة والفصل نفسه.
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.
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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