Geometry

Essential history, definitions, and fundamental knowledge in geometry

Identify and define parallel and perpendicular lines. Identify corresponding angles, interior angles, and alternate interior angles. Use properties of parallel lines cut by a transversal to find unknown angle measures.

Triangular shapes are especially important because triangles contribute strength and stability to walls and towers. The gable roofs of houses are triangular, as are the sides of many ramps.

The Pythagorean theorem expresses the relationship between the lengths of the sides of any right triangle.

In our everyday lives, we see many types of triangles. Triangular-shaped kites, sails, roofs, tortilla chips, and ramps are just a few examples. We can make observations about their side lengths and angle measures.

Quadrilaterals and Other Polygons is a branch of geometry focused on the properties, classification, and area calculations of closed two-dimensional shapes formed by three or more straight line segments.

Finding perimeters is important when estimating the cost of fencing a yard or installing crown molding in a room. Finding area is important when calculating the cost of carpeting, painting a room, or fertilizing a lawn.

The discoveries of fire and the circular wheel are two of the most important events in the history of the human race

Consider three-dimensional figures that occupy space, such as rectangular solids, cylinders, and spheres