By CK-12 Foundation
CK-12’s Geometry - moment version is a transparent presentation of the necessities of geometry for the highschool scholar. subject matters comprise: Proofs, Triangles, Quadrilaterals, Similarity, Perimeter & quarter, quantity, and modifications. quantity 1 comprises the 1st 6 chapters: fundamentals of Geometry, Reasoning and evidence, Parallel and Perpendicular traces, Triangles and Congruence, Relationships with Triangles, and Polygons and Quadrilaterals.
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Extra info for CK-12 Geometry - Second Edition, Volume 1 of 2
125 in) segments. 1 cm) segments. The two rulers above are NOT DRAWN TO SCALE. Anytime you see this statement, it means that the measured length is not actually the distance apart that it is labeled. Different problems and examples will be labeled this way because it can be difficult to draw problems in this text to full scale. You should never assume that objects are drawn to scale. Always rely on the measurements or markings given in a diagram. Example 2: Determine the measurement between the two points to the nearest tenth of a centimeter.
The only difference between a theorem and postulate is that a postulate is assumed true because it cannot be shown to be false, a theorem must be proven true. We will prove theorems later in this text. Postulate 1-1: There is exactly one (straight) line through any two points. Postulate 1-2: There is exactly one plane that contains any three non-collinear points. Postulate 1-3: A line with points in a plane also lies within that plane. Postulate 1-4: The intersection of two distinct lines will be one point.
Example 1: Which term best describes how San Diego, California, would be represented on a globe? A. point B. line C. plane Solution: A city is usually labeled with a dot, or point, on a globe. A. Example 2: Which geometric object best models the surface of a movie screen? A. point B. line C. plane Solution: The surface of a movie screen extends in two dimensions: up and down and left to right. This description most closely resembles a plane, C. Beyond the Basics Now we can use point, line, and plane to define new terms.