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Transcript
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. Planes- geometric plane extends infinitely in all directions along a flat surface. Collinear- points that are all contained on a single line. 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 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 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 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 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. 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 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. 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 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. Point: A, B, C, T Segments: AB, AC, BC, AT, BT, CT Angles: BAC, ABC, ACB, ATB, BTC, CTA Picture A is of a ray Picture B is of a line Picture C is of a segment The blue object in this picture is a plane Practice Problems http://www.kwiznet.com/p/takeQuiz.php? ChapterID=2435&CurriculumID=22 What is geometric object one, two, and three. Using the figure, what is the measure of the segment shown? 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. Answers Segment, Ray, Line 7 Plane Complementary Angles, Supplementary Angles, Right Angles, Acute Angles, Obtuse Angles