Concept explainers
To identify: all pairs of
Answer to Problem 10ST1
Explanation of Solution
Given:
The diagram:
Concept Used:
Corresponding angles: These are the two angles which relative to the two lines are in the corresponding position.
Postulate 10: If two parallel lines are cut by a transversal then the corresponding angles are congruent.
Alternate interior angles: These are the two non adjacent interior angles which are on the opposite sides of the transversal.
Theorem 3-2: If two parallel lines are cut by a transversal then the alternate interior angles are congruent.
Consider the given figure:
It can be observed that
Similarly,
Thus, by using the above definitions, it can be said that
So by Theorem 3-2,
Now, the given figure has no corresponding angles so no more congruent angles.
Chapter 3 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
Additional Math Textbook Solutions
Fundamentals of Differential Equations and Boundary Value Problems
Linear Algebra and Its Applications (5th Edition)
Algebra and Trigonometry
Intermediate Algebra (7th Edition)
Mathematics with Applications In the Management, Natural and Social Sciences (11th Edition)
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning