What are Geometric Transformations? 🗺️
A **transformation** is a change in the position or size of a geometric figure. The original figure is called the **pre-image**, and the transformed figure is called the **image**.
There are four main types of transformations:
- **Translation:** Sliding a figure without changing its size or orientation.
- **Reflection:** Flipping a figure over a line, like a mirror image.
- **Rotation:** Turning a figure around a fixed point.
- **Dilation:** Enlarging or shrinking a figure.
The first three are **rigid transformations**, meaning they preserve the size and shape of the figure. A dilation changes the size.
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Video: Graphing a Translation 🎬
This video will walk you through how to translate a triangle on a coordinate plane.
Practice Problems
Find the coordinates of the image after the transformation.
1) Point (2, 3) translated
5 units right, 1 unit down.
5 units right, 1 unit down.
Image = ,
2) Point (-4, 1) reflected over
the x-axis.
the x-axis.
Image = ,
3) Point (5, -2) rotated 90°
counter-clockwise about origin.
counter-clockwise about origin.
Image = ,
4) Point (-1, 3) dilated
by a scale factor of 3.
by a scale factor of 3.
Image = ,
⚡ Transformations Speed Quiz
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