Chapter 1
Algebra
Course: Sat Prep
Subject: Math
Chapter: Geometry And Trigonometry
By the end of this lesson, you should be able to:
- Locate and identify points on the coordinate plane.
- Calculate the distance between two points.
- Determine the midpoint of a line segment.
- Find and interpret the slope of a line.
- Write equations of lines in different forms.
- Graph geometric figures on the coordinate plane.
- Perform geometric transformations on figures.
Coordinate geometry, also known as analytic geometry, combines algebra and geometry by representing geometric figures on a coordinate plane. Instead of relying only on diagrams, coordinate geometry uses ordered pairs, equations, and formulas to analyze points, lines, and shapes mathematically. This approach allows students to calculate distances, determine slopes, write equations of lines, and study transformations accurately.
Coordinate Plane
The coordinate plane consists of two perpendicular number lines:
- The x-axis, which is the horizontal axis.
- The y-axis, which is the vertical axis.