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Chapter 1.1-1.3

Chapter 1.1-1.3. By Skyler Cassity & Ryan Tourial. Vocabulary. Point- geometric points that have no size, usually depicted as a dot. Lines- geometric line has no thickness, is perfectly straight, and extends forever.

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Chapter 1.1-1.3

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  1. Chapter 1.1-1.3 By Skyler Cassity & Ryan Tourial

  2. Vocabulary • Point- geometric points that have no size, usually depicted as a dot. • Lines- geometric line has no thickness, is perfectly straight, and extends forever. • Planes- geometric plane extends infinitely in all directions along a flat surface. • Collinear- points that are all contained on a single line.

  3. Vocabulary • Coplanar- points that are all contained in a single plane • Segment- part of a line that begins at one point and ends at another • Endpoints- the points that end the segment • Ray- part of a line that starts at a point and extends infinitely in one direction

  4. Vocabulary • Endpoint- the end of one side of the ray • Angle- figure formed by two rays with a common endpoint • Vertex of the Angle- The common endpoint of the two rays in an angle • Sides of the Angle- the rays in an angle • Interior of an Angle- the area inside of the angle

  5. Vocabulary • Exterior of an Angle- the area outside of the angle • Intersect- when geometric figures have on or more points in common • Intersection- the set of points that they have in common • Postulates- fundamental geometry ideas involving intersections of geometric figures

  6. Vocabulary • Number Line- line that has been set up to correspond with real numbers • Coordinate of a Point- a point on a number line that is always a real number • Length- the measure between points on a number line l a-b l or l b-a l • Unit Length- a distance between something in measurements

  7. Vocabulary • Congruent- figures that are the same shape and size • Degree- the most common unit for measuring angles • Complementary angles- are two angles whose measure have a sum of 90 degrees.

  8. Vocabulary • Supplementary Angles- two angles whose measures have a sum of 180 degrees. • Right Angles- angle whose measure is 90 degrees • Acute Angle- Angle whose measure in less than 90 degrees • Obtuse Angle- Angle whose measure is greater than 90 degrees

  9. Postulates and Theorems • The intersection of two lines is a point. • The intersection of two planes is a line. • Through any two points there is exactly one line. • Through any three non collinear points there is exactly one plane. • If two points are in a plane, then the line containing them is in a plane.

  10. Postulates and Theorems • Segment Congruence Postulate- If two segments have the same length and measure by a fair ruler, then the segments are congruent. Also, if two segments are congruent, then they have the same length as measured by a fair ruler. • Segment addition postulate- If point R is between points P and Q on a line then PR+RQ=PQ

  11. Postulates and Theorems • Angle Congruence Postulate- If two angles have the same measure, then they are congruent. If two angles are congruent, then they have the same measure. • Angle Addition Postulate- If point S is in the interior of angle PQR, then angles PQS + SQR = PQR • Linear Pair Property- If two angles form a linear pair, then they are supplementary.

  12. Point: A, B, C, T • Segments: AB, AC, BC, AT, BT, CT • Angles: BAC, ABC, ACB, ATB, BTC, CTA

  13. Picture A is of a ray • Picture B is of a line • Picture C is of a segment

  14. The blue object in this picture is a plane

  15. Practice Problems • http://www.kwiznet.com/p/takeQuiz.php?ChapterID=2435&CurriculumID=22

  16. What is geometric object one, two, and three.

  17. Using the figure, what is the measure of the segment shown?

  18. Question 3 & 4 • What is a geometrical object that extends infinitely in all directions on a flat surface. This can also be named with three points. • Name the five types of angles and explain what each is.

  19. Answers • Segment, Ray, Line • 7 • Plane • Complementary Angles, Supplementary Angles, Right Angles, Acute Angles, Obtuse Angles

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