# Ch 12: High School Geometry: Analytical Geometry

Watch geometry video lessons and learn about the various parts of a graph, how to use essential formulas and more. These video lessons are short and engaging and make learning easy!

## Analytical Geometry - Chapter Summary and Learning Objectives

In these lessons, you'll start with a foundation of graphing basics and then build a wider understanding of analytical geometry concepts. Learn how to calculate the slopes of various types of lines and to complete analytic geometry proofs. Practice using several different kinds of formulas to determine a midpoint and distance. While investigating the Cartesian coordinate system, you can learn to master plotting points and graphing lines using a table. In these lessons, you can learn how to perform all of these calculations and build a solid knowledge of geometry graphing basics. This chapter is designed to teach you:

• Graphing quadrants, axes, ordered pairs, origins, and intercepts
• Plotting points and graphing lines using a table
• Application of the midpoint formula
• Application of the distance formula
• The definitions and processes for calculating the slopes of lines and using point-slope and slope-intercept forms of lines
• The steps for preparing and completing analytic geometry proofs

Video Objective
What Are the Different Parts of a Graph? Learn graphing basics: quadrants, axes, ordered pairs, origins, intercepts.
The Cartesian Coordinate System Explain how to plot points. Learn to graph lines using a table. Learn to graph lines using x- and y-intercepts.
How to Use the Midpoint Formula Learn how to use the midpoint formula.
How to Use the Distance Formula Learn how to use the distance formula.
Slope, Equation of a Line Define and explain how to calculate the slope of a line. Discuss how to use point-slope form of a line and slope-intercept form of a line. Demonstrate how to determine slopes of parallel and perpendicular lines.
Geometric Proofs for Polygons Discuss how to prepare and complete analytic geometry proofs.

6 Lessons in Chapter 12: High School Geometry: Analytical Geometry
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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