Ch 1: Holt Geometry Chapter 1: Exploring Geometry

1. What is Geometry?

Geometry can be defined simply as the study of shapes and space with roots that can be traced back 4,000 years to ancient Egypt. Explore the history of geometry and discover how Egyptian and later Greek and French mathematicians contributed to its development.

2. Line Segments & Rays: Definition & Measurement

A line segment is a line with a starting point and endpoint, while a ray is a line with only one endpoint. Learn the definition of line segments and rays, how the distance of line segments is used in measurements, and discover how to add line segments together.

3. Angles and Triangles: Practice Problems

When solving angles, they should be equal to each other or added together to equal 180, and with solving triangles, all angles in every triangle added together must equal 180 degrees. Engage in practice problems solving angles and triangles.

4. How to Solve Visualizing Geometry Problems

Visualizing geometry problems involves knowing the expected results, and identifying the important pieces of information to make sure all the mathematical details match the word problem. See several examples of how to solve these problems correctly.

5. Properties of Concurrent Lines in a Triangle

Concurrent lines are those that meet in a single point when three or more are present. Explore the properties of concurrent lines in triangles through the concepts of the centroid, orthocenter, incenter, and circumcenter.

6. Using Position vs. Time Graphs to Describe Motion

Motion can be explained adequately in the form of graphs for clarity. Learn how using position versus time graphs can help make kinematics problems easier to read, understand, and solve.

7. Plotting Points on the Coordinate Plane

Plotting points on a coordinate plane requires knowing the parts of a graph and how to identify points. Discover the components to plotting points and Descartes's conceptualization of the Cartesian coordinate plane in this lesson.