TAILIEUCHUNG - Lecture General mathematics: Lecture 17 - Ms. Fehmida Haroon

This chapter presents the following content: Mean value theorem for integrals, the first fundamental theorem of calculus, the second fundamental theorem of calculus. | General Mathematics ADE 101 Unit 3 LECTURE No. 17 Point Line Plane And Angles Today’s Objectives Knowledge Test Points A Point is named by a capital letter and represented by a dot. A point names a location and has no size J Called Point J All geometric figures are comprised of points. A tiny seed is a physical model of a point. Line Segment A line segment consists of two points called endpoints of the segment and all the points between them. A D H A piece of spaghetti is a physical model of a line segment. Congruent segments are segments that have the same measure or length. In the diagram, PQ = RS, so you can write PQ RS. This is read as “segment PQ is congruent to segment RS.” Tick marks are used in a figure to show congruent segments. Congruent Segments 7 C: Segment AB is congruent to Segment CD R: Deg congruent segments Problem of the Day Remove 4 of the segments to leave 5 equal squares. Points, Lines, and Planes 8 Rays Part of a line that starts at an endpoint and extends forever in one direction To name a ray, use its endpoint and any other point on the ray A D H A physical model of a ray are beams of light. Lines A line has no thickness or width. It is an infinite set of points (extends forever). A line is named by 2 points on the line and by placing the line symbol above the letters. Example: Number Line Parallel and Intersecting Lines Parallel lines lie in the same plane and never meet. Two distinct intersecting lines meet at a point. Skew lines do not lie in the same plane and do not meet. Parallel Intersecting Skew Half-Line, Ray, and Line Segment A point divides a line into two half-lines, one on each side of the point. A ray is a half-line including an initial point. A line segment includes two endpoints. Half-Line, Ray, and Line Segment Name Figure Symbol Line AB or BA AB or BA Half-line AB AB Half-line BA BA Ray AB AB Ray BA BA Segment AB or segment BA AB or BA A B A B A B A B A B A B Collinear Points Points that lie on the same line. .

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