The Find the reflection that maps a given figure to another exercise appears under the High school geometry Math Mission. This exercise practices reflection on the coordinate plane.
Types of Problems[]
There is one type of problem in this exercise:
- Use the reflection tool: This problem provides a coordinate plane and two images that are congruent. The student is asked to find the correct line that would be used to reflect the preimage into the image.
Strategies[]
Knowledge of the coordinate plane and geometric transformations, particularly reflections, are encouraged to ensure success on this exercise.
- A reflection line is needed to define the reflection, and two points determine a line.
- By connecting the endpoints of the images and preimages you can find lines perpendicular to the line of reflection
Real-life Applications[]
- Reflection is a size preserving transformation, so figures are kept congruent, but it reverses orientation.
- Reflections connect with perpendicularity and mirror reflection.