6.2Dilations in the Coordinate Plane
Quick Answer
A dilation with center (0,0) and scale factor k maps (x,y) to (kx,ky). If k>1 the image is an enlargement; if 0<k<1 it is a reduction. Dilations preserve angle measures but not side lengths.
Essential Question
How does a dilation transform a figure while preserving its shape but changing its size?
Learning Goals
- 1Define dilation, center of dilation, and scale factor.
- 2Apply dilation rules in the coordinate plane.
- 3Distinguish enlargements from reductions.
- 4Verify that dilations preserve angle measures.
Key Vocabulary
Dilation
A transformation that enlarges or reduces a figure by a scale factor relative to a center point.
Center of dilation
The fixed point from which all points are scaled.
Enlargement
A dilation with scale factor k > 1.
Reduction
A dilation with scale factor 0 < k < 1.
Full lesson content coming soon
Worked examples, guided practice problems, a workbook, quiz, and downloadable PDF resources will be added to this lesson in Phase 2. The learning goals and vocabulary above reflect the complete lesson scope.