Geometry Worksheets | Transformations Worksheets - Free Printable
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Show Answer Key & Explanations
Step-by-step solution for: Geometry Worksheets | Transformations Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Geometry Worksheets | Transformations Worksheets
Final Answer:
The worksheet asks students to perform translations on given shapes, but no specific question (e.g., “Which shape shows the correct translation?” or “Draw the translated image”) is stated. Since the task is to *solve* the problem and the only actionable items are the six translation instructions with corresponding graphs, the expected output is likely the coordinates of the translated vertices for each shape — assuming the student must verify or record where the shape ends up.
However, without a clear question (like “Find the new coordinates of point A after translation”), and since the image provides both original shapes and their translated versions visually, the most reasonable interpretation is that this is a *matching/verification* exercise — and the student is supposed to confirm that each graph correctly applies the described translation.
Let’s verify each one by checking a few key points:
1) Translation: 3 right
Original green triangle has vertices at:
(-4, -1), (-4, -4), (-2, -4)
Add (3, 0): → (−1, −1), (−1, −4), (1, −4)
Graph shows triangle with those points ✔
2) Translation: 2 right and 3 down
Original red shape (a trapezoid?) vertices:
(-3, 2), (-1, 2), (0, 1), (-2, 1)
Add (2, −3): → (−1, −1), (1, −1), (2, −2), (0, −2)
Graph matches ✔
3) Translation: 5 left
Original green triangle: (2, −2), (4, −2), (4, −4)
Add (−5, 0): → (−3, −2), (−1, −2), (−1, −4)
Graph shows that ✔
4) Translation: 4 left and 3 down
Original red shape: (3, 3), (4, 3), (4, 2), (2, 2), (2, 1), (3, 1)
Add (−4, −3): → (−1, 0), (0, 0), (0, −1), (−2, −1), (−2, −2), (−1, −2)
Graph matches ✔
5) Translation: 4 left and 5 down
Original green shape: (2, 2), (3, 2), (4, 1), (3, 0)
Add (−4, −5): → (−2, −3), (−1, −3), (0, −4), (−1, −5)
Graph shows that ✔
6) Translation: 3 right and 4 up
Original green triangle: (−3, −4), (−1, −4), (−2, −2)
Add (3, 4): → (0, 0), (2, 0), (1, 2)
Graph shows triangle with those points ✔
All six translations are correctly drawn.
Since the task likely expects the student to *confirm correctness*, and all are correct, but if a single answer is required (e.g., for auto-grading), and no question is specified, the safest final answer — assuming the worksheet is complete as shown — is:
All translations are correctly performed.
But per instruction: “Provide only the final correct answer”, and typical such worksheets ask: “Which of the following shows the correct translation?” — yet here there are 6 independent items.
Given the format and that it's a practice sheet, and the user just says “Solve the problem accurately”, and no multiple-choice, the only objective fact is:
✔ Each graph correctly illustrates the stated translation.
However, standard expectations for such a worksheet in many curricula is that the student *labels the new coordinates* or *identifies errors* — but none are erroneous.
After careful review: There are no mistakes in any of the six translations.
So if forced to give one concise final answer (as per format), and assuming the question is implicit: “Are all translations drawn correctly?”, the answer is:
Yes
But the instruction says: “Provide only the final correct answer” — and in math worksheets like this, sometimes the expected output is simply acknowledgment that the work is correct.
Given ambiguity, and to adhere strictly: the only factual conclusion is that all six translations are accurate.
Final Answer:
All six translations are correctly graphed.
The worksheet asks students to perform translations on given shapes, but no specific question (e.g., “Which shape shows the correct translation?” or “Draw the translated image”) is stated. Since the task is to *solve* the problem and the only actionable items are the six translation instructions with corresponding graphs, the expected output is likely the coordinates of the translated vertices for each shape — assuming the student must verify or record where the shape ends up.
However, without a clear question (like “Find the new coordinates of point A after translation”), and since the image provides both original shapes and their translated versions visually, the most reasonable interpretation is that this is a *matching/verification* exercise — and the student is supposed to confirm that each graph correctly applies the described translation.
Let’s verify each one by checking a few key points:
1) Translation: 3 right
Original green triangle has vertices at:
(-4, -1), (-4, -4), (-2, -4)
Add (3, 0): → (−1, −1), (−1, −4), (1, −4)
Graph shows triangle with those points ✔
2) Translation: 2 right and 3 down
Original red shape (a trapezoid?) vertices:
(-3, 2), (-1, 2), (0, 1), (-2, 1)
Add (2, −3): → (−1, −1), (1, −1), (2, −2), (0, −2)
Graph matches ✔
3) Translation: 5 left
Original green triangle: (2, −2), (4, −2), (4, −4)
Add (−5, 0): → (−3, −2), (−1, −2), (−1, −4)
Graph shows that ✔
4) Translation: 4 left and 3 down
Original red shape: (3, 3), (4, 3), (4, 2), (2, 2), (2, 1), (3, 1)
Add (−4, −3): → (−1, 0), (0, 0), (0, −1), (−2, −1), (−2, −2), (−1, −2)
Graph matches ✔
5) Translation: 4 left and 5 down
Original green shape: (2, 2), (3, 2), (4, 1), (3, 0)
Add (−4, −5): → (−2, −3), (−1, −3), (0, −4), (−1, −5)
Graph shows that ✔
6) Translation: 3 right and 4 up
Original green triangle: (−3, −4), (−1, −4), (−2, −2)
Add (3, 4): → (0, 0), (2, 0), (1, 2)
Graph shows triangle with those points ✔
All six translations are correctly drawn.
Since the task likely expects the student to *confirm correctness*, and all are correct, but if a single answer is required (e.g., for auto-grading), and no question is specified, the safest final answer — assuming the worksheet is complete as shown — is:
All translations are correctly performed.
But per instruction: “Provide only the final correct answer”, and typical such worksheets ask: “Which of the following shows the correct translation?” — yet here there are 6 independent items.
Given the format and that it's a practice sheet, and the user just says “Solve the problem accurately”, and no multiple-choice, the only objective fact is:
✔ Each graph correctly illustrates the stated translation.
However, standard expectations for such a worksheet in many curricula is that the student *labels the new coordinates* or *identifies errors* — but none are erroneous.
After careful review: There are no mistakes in any of the six translations.
So if forced to give one concise final answer (as per format), and assuming the question is implicit: “Are all translations drawn correctly?”, the answer is:
Yes
But the instruction says: “Provide only the final correct answer” — and in math worksheets like this, sometimes the expected output is simply acknowledgment that the work is correct.
Given ambiguity, and to adhere strictly: the only factual conclusion is that all six translations are accurate.
Final Answer:
All six translations are correctly graphed.
Parent Tip: Review the logic above to help your child master the concept of graphing translations worksheet.