Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Bell ringer Draw three noncollinear points A,B, and C. Then draw point D on line AB between points A and B. Draw segment CD. Draw ray CA and ray CB. 1. 2. 3. 4. Are Are Are Are points A,B and D collinear? points B,C and D collinear? ray CA and ray CB opposite rays? ray DA and ray DB opposite rays? See # 3 Line PQ extends in 2 directions ∞. Ray PQ extends in 1 direction ∞. Ray AB extends in 1 direction ∞. Segment AB has 2 endpoints. Line RS extends in 2 directions ∞. Segment RS has 2 endpoints. Line RS extends in 2 directions ∞. Ray RS extends in 1 direction ∞. True Ray RS extends in 1 direction ∞, from R thru S. Ray SR extends in 1 direction ∞, from S thru R. True True False False False Notes 1D: Segments and their measures Vocabulary: a postulate or axiom is a rule that is accepted without proof. Postulate 1 ruler postulate Points on a line can be matched one to one with the real numbers. The real numbers that corresponds to a point is the coordinate of the point. The distance between points A and B, written as AB, is the absolute value of the difference between the coordinates of A and B. AB is also called the length of AB. When three points lie on a line, you can say that one of them is between the other two. Postulate 2 Segment Addition Postulate: If B is between A and C, then AB+BC=AC. If AB+BC=AC, then B is between A and C. Example 1: Using the segment Addition Postulate In the diagram of the collinear points, DE=2, EF=3, and DE=FG. Find each length. D E G F 1. FG 2. DF 3. DG 4. EG 1. In the diagram of the collinear points AB=5 and BC=AB. Find the following lengths. A B a. AC b. AB c. Are any segments congruent? C 2. In the diagram of the collinear points, HK=9, HI=JK and IJ=1. Find the following lengths. H I K J a. HI b. JK c. HJ d. IK 3. In the diagram of the collinear points, GK=24, HJ=10, and GH=HI=IJ. Find each length. G a. HI d. JK b. IJ e. IG c. GH f. IK H I J K Suppose J is between H and K. Use the segment Addition Postulate to solve for x. Then find the length of each segment. 4. HJ=2x+4 JK=3x+3 KH=22 5. HJ=5x-3 JK=8x-9 KH=131 6. HJ=2x+1/3 JK=5x+2/3 KH=12x-4 Assignment 1D Worksheet 1D ODDS