Determine slopes from points and graphs, recognizing positive, negative, zero, and undefined slopes, and write equations of lines in slope-intercept, point-slope, or standard form, including horizontal and vertical lines and parallel or perpendicular relationships. Use the distance and midpoint formulas for points in the two-dimensional Cartesian plane, and determine or interpret circle equations in standard form using their centres and positive radii. Solve coordinate geometry problems involving lines and circles by applying slope, distance, midpoint, substitution, and elimination to find unknown coordinates, intersections, parallel or perpendicular relationships, tangency, and zero, one, or two intersection points.
On this page:
- Master skills like “Determine the slope of a line”, “Determine equations of parallel lines”, and “Determine the midpoint of a line segment” 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 “Determine the distance between two points”, “Write equations of lines in standard form”, “Determine equations of perpendicular lines”.
- Start working on adaptive units like “Line Equations and Graphing - Practice” or “Slopes and Perpendiculars - Practice” that include these skills and will introduce and scaffold the skills carefully for maximum learning.
Analytic 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
- Determine equations of parallel lines
- Determine equations of perpendicular lines
- Determine the distance between two points
- Determine the equation of a circle from its centre and radius
- Determine the midpoint of a line segment
- Determine the slope of a line
- Identify the centre and radius from a circle equation
- Solve coordinate geometry problems involving lines and circles
- Write equations of lines in slope-intercept form
- Write equations of lines in standard form
Practice 'Determine equations of parallel lines'
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 11 '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:
- Determine equations of parallel lines
- Determine equations of perpendicular lines
- Determine the distance between two points
- Determine the equation of a circle from its centre and radius
- Determine the midpoint of a line segment
- Determine the slope of a line
- Identify the centre and radius from a circle equation
- Solve coordinate geometry problems involving lines and circles
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.