TechMathI - 1.1 - Geometric Definitions
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The document defines and provides examples of basic geometry terms including: - Point, line, plane, collinear points, coplanar points, intersections, line segment, ray, angle. It gives examples of naming points, lines, line segments, rays, and angles. It asks the reader to identify examples of these terms in the classroom and whether everyday objects are best modeled as points, lines, or planes.
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TechMathI - 1.1 - Geometric Definitions
- 1. Bell Ringer Simplify. ½ * 24 -3 * ¼ 1/5 * 20 28 / ½
- 2. Definitions Point – identifies a position or location – a point is named by a capital letter Line – a straight path between two points – has infinite length “goes on forever” – a line is named by a lower case letter or two points on the line m A B
- 3. Definitions Plane – has infinite width and length – named by a capital letter R A B
- 4. Definitions Collinear Points – points that lie on the SAME line Coplanar Points – points that lie in the SAME plane
- 5. Definitions Intersections – two lines intersect at exactly one point – two planes intersect to form a line
- 6. Definitions Line Segment – consists of two points on a line (called endpoints) – how would you name this line segment? Ray – a ray is part of a line that consists of one endpoint and a line – name? B A B A
- 7. Definitions Angle – formed by two rays with a common endpoint – the endpoint of the two rays is the vertex of the angle – the two rays are called the sides of the angle Naming an Angle A B C
- 8. Practice M N O P Q 1 Name a line segment containing point Q. Name each ray containing endpoint N. Give three different ways of naming the angle containing vertex P.
- 9. Look Around You! Find two objects in the classroom that can represent each of the following. Point Line Segment Angle Line Plane
- 10. Look Around You! Identify whether each is best modeled as a point, line, or a plane. A pen A piece of paper The side of a house A distant star