Let’s solve each problem step by step.
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Problem 1:
Shape has points:
A. (5,4)
B. (8,2)
C. (10,10)
→ Reflect over the
X-axis
Rule for reflection over X-axis:
(x, y) → (x, -y)
So we flip the y-coordinate to its opposite.
- A. (5,4) → (5, -4)
- B. (8,2) → (8, -2)
- C. (10,10) → (10, -10)
✔ Final coordinates after reflection:
1a. (5, -4)
1b. (8, -2)
1c. (10, -10)
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Problem 2:
Shape has points:
A. (4,-5)
B. (6,-3)
C. (10,-6)
D. (5,-10)
→ Reflect over the
Y-axis
Rule for reflection over Y-axis:
(x, y) → (-x, y)
Flip the x-coordinate to its opposite.
- A. (4,-5) → (-4, -5)
- B. (6,-3) → (-6, -3)
- C. (10,-6) → (-10, -6)
- D. (5,-10) → (-5, -10)
✔ Final coordinates after reflection:
2a. (-4, -5)
2b. (-6, -3)
2c. (-10, -6)
2d. (-5, -10)
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Problem 3:
Shape has points:
A. (-5,1)
B. (-9,3)
C. (-8,10)
→ Reflect over the
X-axis
Again, rule:
(x, y) → (x, -y)
- A. (-5,1) → (-5, -1)
- B. (-9,3) → (-9, -3)
- C. (-8,10) → (-8, -10)
✔ Final coordinates after reflection:
3a. (-5, -1)
3b. (-9, -3)
3c. (-8, -10)
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Problem 4:
Shape has points:
A. (0,-3)
B. (-9,0)
C. (-6,-9)
D. (-1,-10)
→ Reflect over the
X-axis
Rule:
(x, y) → (x, -y)
- A. (0,-3) → (0, 3)
- B. (-9,0) → (-9, 0) ← note: 0 stays 0
- C. (-6,-9) → (-6, 9)
- D. (-1,-10) → (-1, 10)
✔ Final coordinates after reflection:
4a. (0, 3)
4b. (-9, 0)
4c. (-6, 9)
4d. (-1, 10)
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Final Answer:
1a. (5, -4)
1b. (8, -2)
1c. (10, -10)
2a. (-4, -5)
2b. (-6, -3)
2c. (-10, -6)
2d. (-5, -10)
3a. (-5, -1)
3b. (-9, -3)
3c. (-8, -10)
4a. (0, 3)
4b. (-9, 0)
4c. (-6, 9)
4d. (-1, 10)
Parent Tip: Review the logic above to help your child master the concept of coordinate geometry worksheet answers.
