Apply coordinate rules to translate, reflect across the coordinate axes or horizontal and vertical lines, and rotate figures about the origin by , , or , recognizing that rigid transformations preserve lengths, angle measures, shape, and congruence. Determine positive dilation scale factors from corresponding lengths or coordinates and dilate figures centered at the origin using , distinguishing enlargements and reductions from rigid transformations. Perform ordered sequences of translations, reflections, rotations, and dilations to track figures and establish congruence through rigid motions or similarity through rigid motions followed by a dilation.
On this page:
- Master skills like “Dilate figures from the origin”, “Rotate figures about the origin”, and “Apply coordinate rules for rotations” with unlimited, free practice problems
- Download (or modify) free worksheets on Transformations you can use at home or in class with practice problems across all skills in this group including “Determine scale factors of dilations”, “Perform sequences of transformations”, “Reflect figures across coordinate axes”.
- Start working on adaptive units like “Cartesian Grid Transformations - Intro” or “Geometry - Angles and Transformations - Practice” that include these skills and will introduce and scaffold the skills carefully for maximum learning.
Transformations: Individual Skills
Master 10 individual skills with free practice problems. Mouseover to see the skill's practice problems. Create a free account to track your progress.
Your results
- Apply coordinate rules for rotations
- Determine scale factors of dilations
- Dilate figures from the origin
- Distinguish rigid and non-rigid transformations
- Perform sequences of transformations
- Reflect figures across coordinate axes
- Reflect figures across horizontal and vertical lines
- Rotate figures about the origin
- Translate figures on a coordinate plane
- Use transformations to establish congruence and similarity
Practice 'Apply coordinate rules for rotations'
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Download/Modify Free Grade 9 'Transformations' Worksheet
Print this free 'Transformations' worksheet to practice these skills away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Apply coordinate rules for rotations
- Determine scale factors of dilations
- Dilate figures from the origin
- Distinguish rigid and non-rigid transformations
- Perform sequences of transformations
- Reflect figures across coordinate axes
- Reflect figures across horizontal and vertical lines
- Rotate figures about the origin
Units Teaching These Skills
These adaptive units introduce, teach, or reinforce skills in this group (Transformations) through scaffolded problems that grow in difficulty as concepts are understood.