Students calculate Euclidean distances between points and determine midpoints or missing endpoints of line segments using coordinate formulas, including integer, decimal, fractional, and radical values. They use slopes to identify parallel and perpendicular lines and write equations of lines through specified points, including horizontal and vertical cases. They apply coordinates, distance, midpoint, slope, and line equations to solve linear geometric problems involving collinearity, intersections, equal lengths, coordinate proofs, and classifications of triangles and quadrilaterals.
On this page:
- Master skills like “Write the equation of a parallel line”, “Determine the midpoint of a line segment”, and “Calculate the distance between two points” with unlimited, free practice problems
- Download (or modify) free worksheets on Analytic Geometry you can use at home or in class with practice problems across all skills in this group including “Write the equation of a perpendicular line”, “Determine whether lines are parallel using slope”, “Solve geometric problems using analytic geometry”.
- Start working on adaptive units like “Slopes and Perpendiculars - Practice” or “Segments, Mid-Points, and Perpendicular Bisectors - Intro” that include these skills and will introduce and scaffold the skills carefully for maximum learning.
Analytic Geometry: Individual Skills
Master 8 individual skills with free practice problems. Mouseover to see the skill's practice problems. Create a free account to track your progress.
Your results
- Calculate the distance between two points
- Determine an endpoint from a midpoint and another endpoint
- Determine the midpoint of a line segment
- Determine whether lines are parallel using slope
- Determine whether lines are perpendicular using slope
- Solve geometric problems using analytic geometry
- Write the equation of a parallel line
- Write the equation of a perpendicular line
Practice 'Calculate the distance between two points'
Select any skill in this group by hovering over the list above. Unlimited free practice problems, automatically graded.
Hover a skill above to start practicing.
Download/Modify Free Grade 10 'Analytic Geometry' Worksheet
Print this free 'Analytic Geometry' worksheet to practice these skills away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Calculate the distance between two points
- Determine an endpoint from a midpoint and another endpoint
- Determine the midpoint of a line segment
- Determine whether lines are parallel using slope
- Determine whether lines are perpendicular using slope
- Solve geometric problems using analytic geometry
- Write the equation of a parallel line
- Write the equation of a perpendicular line
Units Teaching These Skills
These adaptive units introduce, teach, or reinforce skills in this group (Analytic Geometry) through scaffolded problems that grow in difficulty as concepts are understood.