In Exercise 5 to 12, plan and write the twocolumn proof for each problem.
Given: 


Prove: 

To prove:
The given statement.
Given:
The following figure shows the given diagram.
Given that,
Approach:
By the definition of AAS, triangles will be congruent if two angles and non including side of one triangle are congruent to two angles and non including side of second triangle then both triangle must be congruent.
The completed proof is shown in the following table.
Proof  
Statements  Reasons 
Understanding Basic Statistics
Elementary Technical Mathematics
Statistics for The Behavioral Sciences (MindTap Course List)
Intermediate Algebra
Finite Mathematics
Calculus: An Applied Approach (MindTap Course List)
Mathematical Applications for the Management, Life, and Social Sciences
Calculus: Early Transcendental Functions
Essentials Of Statistics
Calculus (MindTap Course List)
Finite Mathematics and Applied Calculus (MindTap Course List)
Mathematical Excursions (MindTap Course List)
Precalculus: Mathematics for Calculus (Standalone Book)
Multivariable Calculus
Single Variable Calculus: Early Transcendentals, Volume I
Probability and Statistics for Engineering and the Sciences
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Calculus: Early Transcendentals
Single Variable Calculus
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Elements Of Modern Algebra
Single Variable Calculus: Early Transcendentals
Contemporary Mathematics for Business & Consumers
Calculus of a Single Variable
Trigonometry (MindTap Course List)
Finite Mathematics for the Managerial, Life, and Social Sciences
Calculus: Early Transcendental Functions (MindTap Course List)
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Study Guide for Stewart's Multivariable Calculus, 8th
Mathematics For Machine Technology
Research Methods for the Behavioral Sciences (MindTap Course List)
Research Methods for the Behavioral Sciences (MindTap Course List)
College Algebra (MindTap Course List)
STATISTICS F/BUSINESS+ECONOMICSTEXT
Multivariable Calculus
Statistics for Business & Economics, Revised (MindTap Course List)
Calculus (MindTap Course List)
Introduction To Statistics And Data Analysis