Math Problem Statement
Koordinate?
Solution
The task asks to reflect the points on the grid across the y-axis. When reflecting across the y-axis, the x-coordinate changes sign, while the y-coordinate remains the same.
Here are the steps to calculate the coordinates of the mirror points:
- Identify the current coordinates of each point (A, B, C, etc.).
- Reflect across the y-axis, changing the sign of the x-coordinates.
Let me start by listing the original coordinates of the points and then reflecting them.
Original Coordinates:
- A: (2, 1)
- B: (2, 2)
- C: (1, 2)
- D: (0, 2)
- E: (0, 1)
- F: (1, 1)
- G: (2, -3)
- H: (2, -2)
- I: (1, -2)
- J: (0, -3)
- K: (0, -1)
- L: (1, -1)
- M: (0, -2)
- N: (0, 0)
Reflected Coordinates (Mirror across y-axis):
- A' = (-2, 1)
- B' = (-2, 2)
- C' = (-1, 2)
- D' = (0, 2)
- E' = (0, 1)
- F' = (-1, 1)
- G' = (-2, -3)
- H' = (-2, -2)
- I' = (-1, -2)
- J' = (0, -3)
- K' = (0, -1)
- L' = (-1, -1)
- M' = (0, -2)
- N' = (0, 0)
If you need more details or have questions, feel free to ask!
Here are 5 related questions for practice:
- What happens to coordinates when reflecting across the x-axis instead of the y-axis?
- How would the coordinates change if the reflection was across the line ?
- Can you reflect any shape across both the x- and y-axis? What would the final coordinates look like?
- How do you reflect points across a line that is not vertical or horizontal, such as ?
- How would the coordinates of a point change if translated by a certain vector instead of reflecting?
Tip:
When reflecting a point over the y-axis, the y-coordinate stays the same, but the x-coordinate's sign is reversed. This is helpful to remember when reflecting any geometric shapes!
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Math Problem Analysis
Mathematical Concepts
Geometry
Reflections
Coordinate Plane
Formulas
Reflection across y-axis: (x, y) → (-x, y)
Theorems
Reflection Theorem
Coordinate Geometry
Suitable Grade Level
Grades 6-8