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# Geometry: Praxis I Exam

By LearningExpress Editors
LearningExpress, LLC

This section will familiarize you with the properties of angles, lines, polygons, triangles, and circles, as well as the formulas for area, volume, and perimeter.

Geometry is the study of shapes and the relationships among them. Basic concepts in geometry will be detailed and applied in this section. The study of geometry always begins with a look at basic vocabulary and concepts. Therefore, a list of definitions and important formulas is provided.

### Geometry Terms

 area the space inside a two-dimensional figure circumference the distance around a circle chord a line segment that goes through a circle, with its endpoints on the circle congruent equal, in reference to lengths, measures of angles, or size of figures diameter a chord that goes directly through the center of a circle—the longest line segment that can be drawn in a circle hypotenuse the longest side of a right triangle, always opposite the right angle leg either of the two sides of a right triangle that make the right angle perimeter the distance around a figure π (pi) the ratio of any circle's circumference to its diameter (pi is an irrational number, but most of the time it is okay to approximate π with 3.14) radius a line segment from the center of a circle to a point on the circle (half of the diameter) surface area the sum of the areas of all of a three-dimensional figure's faces volume the space inside a three-dimensional figure

### Coordinate Geometry

Coordinate geometry is a form of geometrical operations in relation to a coordinate plane. A coordinate plane is a grid of square boxes divided into four quadrants by both a horizontal x-axis and a vertical y-axis. These two axes intersect at one coordinate point, (0,0), the origin. A coordinate point, also called an ordered pair, is a specific point on the coordinate plane with the first number representing the horizontal placement and the second number representing the vertical placement. Coordinate points are given in the form of (x,y).

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