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Chapter 1.1-1.3

Chapter 1.1-1.3. 1.1 Vocabulary. A segment is a part of a line that begins at one point and ends at another. A ray is a part of a line that starts at a point and extends infinitely in one direction. Example:. Example:. Plane Vocabulary. Things you should know:

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Chapter 1.1-1.3

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  1. Chapter 1.1-1.3

  2. 1.1 Vocabulary • A segment is a part of a line that begins at one point and ends at another. • A ray is a part of a line that starts at a point and extends infinitely in one direction. Example: Example:

  3. 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 are said to be coplanar if a single plane can contain them all Plane EGF: Points E, K, and F are Collinear All points are coplanar

  4. Angletastic • Angles: • 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

  5. 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 plane or in a space. • Here is an example of a point:

  6. 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:

  7. 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?

  8. 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!!!

  9. 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?

  10. 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

  11. 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.

  12. 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

  13. 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.

  14. 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.

  15. Extra stufffff. • http://www.tutorvista.com/search/angles-with-three-different-angles-are-calledtriangle • http://www.kwiznet.com/p/takeQuiz.php?ChapterID=2553&CurriculumID=37&Num=4.4

  16. The End!

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