Plot points in all four quadrants, identify points on the axes and origin, and determine horizontal and vertical distances using absolute differences of coordinates. Apply coordinate rules for translations, reflections across the axes, and quarter- or half-turn rotations about the origin, including sequences of transformations in a specified order, to predict image coordinates and analyze preserved lengths, angles, and shape. Identify congruent figures through rigid motions and equal corresponding measurements, and identify similar figures through proportional corresponding side lengths, congruent angles, and a single scale factor, including dilation.
On this page:
- Master skills like “Identify similar figures”, “Identify congruent figures”, and “Rotate figures about the origin” with unlimited, free practice problems
- Download (or modify) free worksheets on Transformations and Coordinate Geometry you can use at home or in class with practice problems across all skills in this group including “Plot points in all four quadrants”, “Reflect figures across the x-axis”, “Reflect figures across the y-axis”.
- 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 and Coordinate Geometry: 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
- Describe transformations using coordinate rules
- Determine horizontal and vertical distances on a coordinate plane
- Identify congruent figures
- Identify similar figures
- Perform sequences of transformations
- Plot points in all four quadrants
- Reflect figures across the x-axis
- Reflect figures across the y-axis
- Rotate figures about the origin
- Translate figures on a coordinate plane
Practice 'Describe transformations using coordinate rules'
Select any skill in this group by hovering over the list above. Unlimited free practice problems, automatically graded.
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Download/Modify Free Grade 8 'Transformations and Coordinate Geometry' Worksheet
Print this free 'Transformations and Coordinate Geometry' worksheet to practice these skills away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Describe transformations using coordinate rules
- Determine horizontal and vertical distances on a coordinate plane
- Identify congruent figures
- Identify similar figures
- Perform sequences of transformations
- Plot points in all four quadrants
- Reflect figures across the x-axis
- Reflect figures across the y-axis
Units Teaching These Skills
These adaptive units introduce, teach, or reinforce skills in this group (Transformations and Coordinate Geometry) through scaffolded problems that grow in difficulty as concepts are understood.