TRANSFORMATION
Definition Of Transformation
Functions which map points of a pre-image onto its image is called transformation.
The dimensions of three-dimensional figures are length, width, and height
More About Transformation
Translation
Any figure which is moved from one location to another location
on the coordinate plane without changing its shape, size, or orientation is called translation.
Examples of Transformation
The transformation used in the figure-1 to change as figure-2 is 'reflection'.
Video Examples: Transformations
- Figure 2 is the rotation of Figure 1.
Solved Example on Transformation
Ques: What type of transformation can you observe in the figure?
Choices:
A. Rotation
B. Reflection
C. Translation
D. None of the above
Correct Answer: C
Solution:
Step 1: The cube A has been moved 6 units right and 5 units down.
Step 2: The image of the cube A is the cube A'.
Step 3: A ® A’
Step 4: So, the transformation is translation.
Quick Summary
- Transformation moves a figure to a new location.
- Transformations can be reflection, translation, rotation, or dilation.
- Transformations preserve certain properties of the original figure (e.g., shape, size, angles for some transformations).
🍎 Teacher Insights
Use visual aids and hands-on activities to demonstrate transformations. Emphasize the coordinate rules for each type of transformation.🎓 Prerequisites
- Coordinate Plane
- Basic Geometric Shapes
- Understanding of spatial relationships
Check Your Knowledge
Q1: Which transformation involves flipping a figure over a line?
Q2: A figure is moved 5 units to the left and 3 units up. What type of transformation is this?
Frequently Asked Questions
Q: What is the difference between translation and rotation?
A: Translation moves a figure without changing its orientation, while rotation turns the figure around a point.
Q: Does a dilation change the shape of the figure?
A: No, dilation changes the size but preserves the shape. It creates a similar figure.