Apply angle relationships for parallel lines cut by a transversal, including corresponding and alternate angles, vertical angles, linear pairs, and same-side interior angles, to find unknown measures, solve simple equations, and justify parallelism; determine polygon interior and exterior angles using , supplementary adjacent angles, and a exterior-angle sum for convex polygons. Identify congruent triangles using rigid motions and SSS, SAS, ASA, or AAS while rejecting SSA as sufficient, and identify similar triangles and figures using corresponding angles, proportional sides, and AA, SAS, or SSS, including rotated and reflected configurations. Use matching correspondence, scale factors, proportions, and consistent units to determine missing lengths in similar figures and triangles, solve straightforward indirect-measurement problems, and distinguish linear scale factors from additive changes.
On this page:
- Master skills like “Identify similar triangles”, “Use scale factors to determine missing lengths”, and “Use indirect measurement with similar triangles” with unlimited, free practice problems
- Download (or modify) free worksheets on Geometry and Similarity you can use at home or in class with practice problems across all skills in this group including “Apply proportional reasoning to similar triangles”, “Determine corresponding sides and angles in similar figures”, “Apply interior and exterior angle relationships for polygons”.
- Start working on adaptive units like “Geometry - Angles and Transformations - Practice” or “Geometry - Intermediate - Intro” that include these skills and will introduce and scaffold the skills carefully for maximum learning.
Geometry and Similarity: Individual Skills
Master 7 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 angle relationships formed by parallel lines and transversals
- Apply interior and exterior angle relationships for polygons
- Apply proportional reasoning to similar triangles
- Determine corresponding sides and angles in similar figures
- Identify similar triangles
- Use indirect measurement with similar triangles
- Use scale factors to determine missing lengths
Practice 'Apply angle relationships formed by parallel lines and transversals'
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 10 'Geometry and Similarity' Worksheet
Print this free 'Geometry and Similarity' worksheet to practice these skills away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Apply angle relationships formed by parallel lines and transversals
- Apply interior and exterior angle relationships for polygons
- Apply proportional reasoning to similar triangles
- Determine corresponding sides and angles in similar figures
- Identify similar triangles
- Use indirect measurement with similar triangles
- Use scale factors to determine missing lengths
Units Teaching These Skills
These adaptive units introduce, teach, or reinforce skills in this group (Geometry and Similarity) through scaffolded problems that grow in difficulty as concepts are understood.