7. A, B, C, D are points on AD, B is between A and C, C is betw a. Draw AD showing B and C. b. Explain why AC

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.1: The Coordinate Plane
Problem 57E
Question
Only answer question 7 please
14
Essentials of Geometry
7. A, B, C, D are points on AD, B is between A and C, C is between B and D, and AB = CD
a. Draw AD showing B and C.
b. Explain why AC = BD.
8. What is the coordinate of the midpoint of DE if the coordinate of D is -4 and the coordi.
nate of E is 9?
9. S, M, and T are points on the number line. The coordinate of M is 2, and the coordinate of T
is 14. What is the coordinate of S if M is the midpoint of ST?
10. P, Q, and R are points on the number line. The coordinate of P is -10, the coordinate of O
is 6, and the coordinate of R is 8.
a. Does PQ+ QR = PR?
b. Is Q the midpoint of PR? If not, what is the coordinate of the midpoint?
plying Skills
1. Along the New York State Thruway, there are distance markers that show the distance in
miles from the beginning of the Thruway. Alicia is at marker 215 and will exit the Thruway
at marker 395. She wants to stop to rest at the midpoint of her trip. At what distance marker
should she stop?
A carpenter is measuring the board with which she is working.
a. The carpenter places a measuring tape so that one end of the board is at 24 inches and
the other at 8 inches How long is the board?
Transcribed Image Text:14 Essentials of Geometry 7. A, B, C, D are points on AD, B is between A and C, C is between B and D, and AB = CD a. Draw AD showing B and C. b. Explain why AC = BD. 8. What is the coordinate of the midpoint of DE if the coordinate of D is -4 and the coordi. nate of E is 9? 9. S, M, and T are points on the number line. The coordinate of M is 2, and the coordinate of T is 14. What is the coordinate of S if M is the midpoint of ST? 10. P, Q, and R are points on the number line. The coordinate of P is -10, the coordinate of O is 6, and the coordinate of R is 8. a. Does PQ+ QR = PR? b. Is Q the midpoint of PR? If not, what is the coordinate of the midpoint? plying Skills 1. Along the New York State Thruway, there are distance markers that show the distance in miles from the beginning of the Thruway. Alicia is at marker 215 and will exit the Thruway at marker 395. She wants to stop to rest at the midpoint of her trip. At what distance marker should she stop? A carpenter is measuring the board with which she is working. a. The carpenter places a measuring tape so that one end of the board is at 24 inches and the other at 8 inches How long is the board?
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