Math Problem Statement
The point E is plotted on the coordinate grid below. Plot the point E', the reflection of E over the y-axis.
Solution
Let's solve the reflection problem step by step:
-
Identify the coordinates of :
- Point is marked at (2, 4) on the graph. So, the coordinates of are .
-
Reflect over the -axis:
- When reflecting a point over the -axis, the -coordinate changes sign, while the -coordinate remains the same.
- The reflection of point over the -axis will be .
-
Fill in the blanks:
- Coordinates of :
- Coordinates of :
- When a point is reflected over the -axis, the -coordinate changes sign.
Do you want more details, or do you have any questions? Here are some related questions to explore:
- How do you reflect a point over the -axis?
- How would you reflect a point over both the - and -axes?
- What would happen if you reflect a point over the origin?
- How do reflections relate to symmetry in geometry?
- What are the general rules for reflecting a point over any line?
Tip: When reflecting over the -axis, only the sign of the -coordinate changes, while the -coordinate remains the same.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Reflection
Formulas
Reflection over the y-axis: (x, y) → (-x, y)
Theorems
Reflection Theorem
Suitable Grade Level
Grades 6-8