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1.1 Vocabulary • A segment is a part of a line that begins at one point and ends at another. Example: A B • A ray is a part of a line that starts at a point and extends infinitely in one direction. Example: D C Plane Vocabulary • Things you should know: – Points on a plane are said to be collinear if a single line can contain them all. – Points on a plane areGsaid to be coplanar if a single plane can contain them all Plane EGF: E Points E, K, and F are Collinear k F All points are coplanar • Angles: Angletastic – Formed by two rays with a common endpoint • “vertex of the angle” • Rays are the “sides of the angle” – Divides the plane into two regions: • INTERIOR • EXTERIOR 1.1 the Building Blocks of Geometry • 1.1 describes the basic geometric figures • These include points, lines, and planes. • A point is an undefined term in geometry; a point can be thought of as a dot that represents a location on a planeL K or in a space. J I H • Here is an example of a point: F G C DE N B This is point A. P A O M 1.1 the Building Blocks of Geometry • A line is perfectly straight, contains an infinite number of points, extend infinitely in two directions, and have no thickness. • A plane is a flat surface that extends infinitely in all directions. Example of Plane: Example of line: C A B D E F G 1.2 Measuring Lengths • A number line is a line that has been set up to correspond with real numbers. – Whats the distance between the red bunny and the blue bunny? CONTINUED • Are you having trouble? To figure out this puzzling question that may possibly be on your final… • Subtract the red bunny from the blue bunny HINT: (Absolute value of -13 – 3) thus equating the distance which is… 10!!! 1.2 POSTULATES • Segment Congruence Postulate: If two segments have the same length as measured by a fair ruler, then the segments are congruent Are these segments equal? 1.2 POSTULATES • Segment addition postulate: If point R is between points P and Q on a line, then PR+RQ=PQ P R Q 1.2 Measuring Angles • To measure an angle: – Put the center of the protractor at the vertex – Align the protractor so one ray is on the line 0 – Read the measure of the other ray. 1.3 POSTULATES • Angle Congruence Postulate: – If two angles have the same measure, then they are congruent • Angle Addition Postulate – If point B is the interior of ACE. Then ACB+BCE= ACE 1.3 Special Pairs • Complementary pairs: – Two angles who measures have a sum of 90. • Supplementary pairs: – Two angles whose measures have a sum of 180. ANGLES • Three types of angles: – Right angle- angle whose measure is 90. – Acute angle- angle whose measure is less than 90. – Obtuse angle- angle whose measure is more than 90. Extra stufffff. • http://www.tutorvista.com/search/angles-withthree-different-angles-are-calledtriangle • http://www.kwiznet.com/p/takeQuiz.php?Chapter ID=2553&CurriculumID=37&Num=4.4