a. Given a parallelogram with angles a, b, c. and d. as in Figure 10.90 . describe how angle a is related to the other 3 angles. Your answer should be general, in that it would hold for every parallelogram, not just for the particular parallelogram shown in the figure.
b. Use the delinition of parallelogram and the Parallel Postulate to explain why the relationships you found in part (a) hold.
Figure 10.90 How are the angles related?
Want to see the full answer?
Check out a sample textbook solutionChapter 10 Solutions
Mathematics for Elementary Teachers with Activities (5th Edition)
Additional Math Textbook Solutions
Math in Our World
The Heart of Mathematics: An Invitation to Effective Thinking
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences Plus NEW MyLab Math with Pearson eText -- Access Card Package (13th Edition)
Thinking Mathematically (7th Edition)
Introductory Mathematics for Engineering Applications
Discrete Mathematics and Its Applications ( 8th International Edition ) ISBN:9781260091991
- The following problem is based on the Parallelogram Law. In the scaled drawing, each unit corresponds to 50 mph. A small airplane travels due east at 250 mph. The wind is blowing at 50 mph in the direction due north. Using the indicated diagonal and use it to determine the speed of the airplane in miles per hour.arrow_forwardRefer to the following figure in answering Exercises 7 through 13. It may be helpful to sketch figures. When 1 is slightly greater than 0: a. How does side y compare to side r? b. How does side x compare to side r? c. How does side x compare to side y?arrow_forwarda What is the general name of the point of concurrence for the three perpendicular bisectors of the sides of a triangle? b What is the general name of the point of concurrence for the three medians of a triangle?arrow_forward
- Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage LearningElementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL