Geometry 47 Chapter 1 Resource Book Copyright © McDougal Littell Inc. All rights reserved. 1.3 Challenge: Skills and Applications For use with pages 17–25 LESSON NAME _________________________________________________________ DATE ___________ Lesson 1.3 1. Suppose Use the Segment Addition Postulate to show that 2. Suppose and What other segments must be congruent? (Use the Segment Addition Postulate.) In Exercises 3 and 4, consider the following statement. If A, B, and C are collinear points, then 3. Explain how the statement differs from the first half of the Segment Addition Postulate. 4. Sketch a counterexample to show that the statement is false. In Exercises 5–7, let A, B, C, and D be four points in a plane. Tell whether the given condition is sufficient to conclude that Justify your answer by using the Segment Addition Postulate or by sketching a counterexample. 5. B is between A and C, and B is between A and D. 6. B is between A and D, and C is between B and D. 7. B and C are both between A and D. In Exercises 8–10, assume that K is between J and L. 8.If and find x. (Hint: Make sure your answer is reasonable!) 9.If and find x. 10. If the ratio of KL to JK is 2:7, and find JK. In Exercises 11–13, use the following information to determine whether In a three-dimensional coordinate system, the distance between two points and is . 11. 12. 13. R0, 4, 4R1, 7, 9R5, 0, 4Q2, 4, 1Q1, 4, 4Q2, 5, 6P1, 0, 3P4, 1, 2P3, 7, 2x2 x12 y2 y12 z2 z12 x2, y2, z2x1, y1, z1PQ QR. JL 162, JL 10, JK 20 x2, KL 2 x, JL x2, JK 2x 5, KL 5x 3, AB BC CD AD. AB BC AC. U V W X Y Z VW XY. UV WX YZ LR MS. L M R S LM RS.