In Exercises 17 to 24, complete each proof.
Given:
Prove:
PROOF | |
Statements | Reasons |
1. ? 2. 3. ? 4. ? |
1. ? 2. ? 3. AA 4. ? |
To prove:
The statement
Definition:
AA:
If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
CSSTP:
Corresponding sides of similar triangles are proportional.
Description:
Given that
The given figure is shown below.
Figure
From the given figure, it is observed that the sides RS and UV are parallel,
If two parallel lines are cut by a transversal, then the alternate interior angles are congruent.
Therefore,
The above mentioned AA definition, the two triangles RST and TUV are similar since the two angles of one triangle are congruent to two angles of another triangle. Hence,
From the definition of CSSTP, corresponding sides of similar triangles are proportional
Mathematical Applications for the Management, Life, and Social Sciences
Probability and Statistics for Engineering and the Sciences
Multivariable Calculus
Calculus (MindTap Course List)
Applied Calculus
Understanding Basic Statistics
Intermediate Algebra
Mathematical Excursions (MindTap Course List)
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Elementary Technical Mathematics
Single Variable Calculus: Early Transcendentals, Volume I
Calculus: Early Transcendentals
Statistics for The Behavioral Sciences (MindTap Course List)
Single Variable Calculus
Calculus: Early Transcendental Functions
Calculus: An Applied Approach (MindTap Course List)
Essentials Of Statistics
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Finite Mathematics and Applied Calculus (MindTap Course List)
Precalculus: Mathematics for Calculus (Standalone Book)
Finite Mathematics
Trigonometry (MindTap Course List)
Contemporary Mathematics for Business & Consumers
Single Variable Calculus: Early Transcendentals
Elements Of Modern Algebra
Calculus of a Single Variable
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Calculus: Early Transcendental Functions (MindTap Course List)
Finite Mathematics for the Managerial, Life, and Social Sciences
Study Guide for Stewart's Multivariable Calculus, 8th
Calculus (MindTap Course List)
Mathematics For Machine Technology
Introduction To Statistics And Data Analysis
STATISTICS F/BUSINESS+ECONOMICS-TEXT
Research Methods for the Behavioral Sciences (MindTap Course List)
Multivariable Calculus
Statistics for Business & Economics, Revised (MindTap Course List)
Research Methods for the Behavioral Sciences (MindTap Course List)
College Algebra (MindTap Course List)