To prove:ABCDis a parallelogram.
Explanation of Solution
Given information:
Proof:
It is given that,
The reasons 1 to 6 are as follows:
1.If lines are parallel, then their alternate interior
2. By subtraction property, we get
3. Two
4. Corresponding parts of congruent triangles are congruent.
5. Alternate interior angles are congruent implies that lines are parallel.
6. If one pairs of opposite sides are both congruent and parallel, then a quadrilateral is parallelogram.
ABCD is a parallelogram.
Chapter 5 Solutions
Geometry For Enjoyment And Challenge
Additional Math Textbook Solutions
Introductory Statistics
Probability and Statistical Inference (9th Edition)
Elementary Algebra
A Survey of Mathematics with Applications (10th Edition) - Standalone book
College Algebra (6th Edition)
Statistics: The Art and Science of Learning from Data (4th 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