In Exercises 31 to 34, write a formal proof of each theorem or corollary.
The opposite sides of a parallelogram are congruent.
To write:
A formal proof of the corollary, the opposite sides of a parallelogram are congruent.
Given:
A parallelogram with one diagonal.
Corollary:
A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel.
Let the parallelogram be ABCD with the diagonal
PROOF | |
Statements | Reasons |
1. Parallelogram ABCD | 1. Given |
2. |
2. By the definition of a parallelogram |
3. |
3. If two âˆ¥ lines are cut by a transversal, the alternate interior âˆ s are congruent. |
4. |
4. Same as reason 2 |
5. |
5 |
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Finite Mathematics
Finite Mathematics and Applied Calculus (MindTap Course List)
Calculus: An Applied Approach (MindTap Course List)
Essentials Of Statistics
Calculus (MindTap Course List)
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Calculus: Early Transcendental Functions
Understanding Basic Statistics
Mathematical Excursions (MindTap Course List)
Intermediate Algebra
Elementary Technical Mathematics
Single Variable Calculus: Early Transcendentals, Volume I
Probability and Statistics for Engineering and the Sciences
Single Variable Calculus
Mathematical Applications for the Management, Life, and Social Sciences
Calculus: Early Transcendentals
Multivariable Calculus
Precalculus: Mathematics for Calculus (Standalone Book)
Statistics for The Behavioral Sciences (MindTap Course List)
Elements Of Modern Algebra
Trigonometry (MindTap Course List)
Single Variable Calculus: Early Transcendentals
Contemporary Mathematics for Business & Consumers
Calculus of a Single Variable
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Study Guide for Stewart's Multivariable Calculus, 8th
Finite Mathematics for the Managerial, Life, and Social Sciences
Calculus: Early Transcendental Functions (MindTap Course List)
Research Methods for the Behavioral Sciences (MindTap Course List)
Introduction To Statistics And Data Analysis
Mathematics: A Practical Odyssey
Multivariable Calculus
Mathematics For Machine Technology
Calculus (MindTap Course List)
College Algebra (MindTap Course List)
STATISTICS F/BUSINESS+ECONOMICS-TEXT
Statistics for Business & Economics, Revised (MindTap Course List)
Research Methods for the Behavioral Sciences (MindTap Course List)