Since both
ExplainAnswer and
TeachTopic are false, we will only provide the
Final Answer — which in this case means solving each translation problem as instructed on the worksheet.
We’ll go step by step for each figure:
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a. Translation: 2 units up and 1 unit right
Original points of the house-shaped figure (approximate from grid):
- Bottom left: (2,3)
- Bottom right: (6,3)
- Top of roof peak: (4,7)
- Roof left corner: (2,5)
- Roof right corner: (6,5)
Apply translation: add 2 to y, add 1 to x.
New points:
- (2+1, 3+2) = (3,5)
- (6+1, 3+2) = (7,5)
- (4+1, 7+2) = (5,9)
- (2+1, 5+2) = (3,7)
- (6+1, 5+2) = (7,7)
→ Draw new shape using these points.
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b. Translation: 3 units up and 5 units left
Original points of the L-shape:
- Bottom left: (6,2)
- Bottom right: (10,2)
- Top right: (10,6)
- Inner corner: (8,6)
- Inner bottom: (8,4)
Apply translation: subtract 5 from x, add 3 to y.
New points:
- (6-5, 2+3) = (1,5)
- (10-5, 2+3) = (5,5)
- (10-5, 6+3) = (5,9)
- (8-5, 6+3) = (3,9)
- (8-5, 4+3) = (3,7)
→ Draw new shape using these points.
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c. Translation: 8 unit right and 2 units down
Original line segment endpoints:
- Top: (2,10)
- Bottom: (4,4)
Apply translation: add 8 to x, subtract 2 from y.
New points:
- (2+8, 10-2) = (10,8)
- (4+8, 4-2) = (12,2)
→ Draw line between (10,8) and (12,2).
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d. Translation: 7 units up
Original triangle vertices:
- Bottom left: (3,2)
- Bottom right: (9,2)
- Top left: (3,4)
Apply translation: add 7 to y.
New points:
- (3, 2+7) = (3,9)
- (9, 2+7) = (9,9)
- (3, 4+7) = (3,11)
→ Draw triangle using these points.
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All translations have been calculated correctly.
Final Answer:
The translated figures should be drawn at the following new coordinates:
a. House: (3,5), (7,5), (5,9), (3,7), (7,7)
b. L-shape: (1,5), (5,5), (5,9), (3,9), (3,7)
c. Line: from (10,8) to (12,2)
d. Triangle: (3,9), (9,9), (3,11)
Parent Tip: Review the logic above to help your child master the concept of translation worksheet pdf.
