# Dynamic geometry

Given:

It is important to know how to use dynamic, interactive software programs such as The Geometer's Sketchpad, Cabri Geometry, GeoGebra, or Google SketchUp, to improve the teaching and learning of geometry.

Task:

1. Distinguish between static and dynamic geometry problems.

2. Use dynamic geometry software to create geometric objects.

3. Use dynamic geometry software to reflect, rotate, and translate objects.

Specify the interactive software program used.

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#### Solution Preview

1. Distinguish between static and dynamic geometry problems.

Static geometry problems are the study of objects that tend to be at a resting state. It refer to the study of object at rest. The object must be in a stationary position for an extended period of time and must not be subjected to movement. Examples of static geometry problem in the real world are the study of objects such as rocks and boulders that have remained in place for hundreds of years. Static geometry is used by geologists to study the distance between two objects at rest. Geologist used static geometry to decipher the history of objects and its age and origin.

Dynamic geometry problems are the opposite of static geometry problems. Dynamic geometry problems constitutes action, motion, and energy. Dynamic geometry is very "active" geometry manipulated by these interactive computer software. Dynamic geometry enabled students to use the computer software to construct accurate geometric configurations that can be altered to new configuration. Dynamic geometry software can enable students to construct accurate geometric configurations of points, segments, rays, lines, arcs, and circles. The dynamic geometry software can allow students to replay the construction. With the dynamic geometry software, the lines and segments are movable with just a grabbed by the cursor using the mouse. The user-friendly software allowed students to literally grab the lines or points with a cursor and dragged or stretched the configures to produce more new configurations.

The dynamic geometry software provides an accurate ...

#### Solution Summary

Traditionally, geometric was taught in a classroom where students used graph paper and pencils to draw the objects with static motion. This is static geometry where the objects is always stationary and motionless. Dynamic geometry is the opposite of static geometry. Dynamic geometry studied movable objects with energy and action. Dynamic geometry is exploratory geometry that offered students intense interaction with the computer animation and visualization. Dynamic geometry offered the students the opportunity to use a computer to construct accurate geometric configurations and altered them into new configurations as a challenge to their critical thinking and analytic skills. Dynamic geometry is the future and should be implemented in every educational system.