a.
To find which of the methods (SSS, SAS, ASA, AAS or HL) could be used instead of the method listed.
a.
Answer to Problem 14CE
Side-
Explanation of Solution
Given:
Two congruent
The given triangles
Leg-Leg Method: If two legs of each right angled triangle are congruent to the legs of other right triangle then the two triangles are congruent.
The other congruency criteria that can be used is Side-Angle-Side (SAS).
Therefore,
Conclusion:
Therefore, the other congruency criteria that can be used is Side-Angle-Side (SAS) congruency criteria.
b.
To find which of the methods (SSS, SAS, ASA, AAS or HL) could be used instead of the method listed.
b.
Answer to Problem 14CE
Angle-Angle-Side (AAS)
Explanation of Solution
Given:
Two congruent triangles congruent by Hypotenuse-Acute Angle Method (HA).
The given triangles
Hypotenuse-Angle Method (HA): If the hypotenuse and an acute angle of one right triangle is congruent to the hypotenuse and an acute angle of the other right triangle, then the triangles are said to be congruent.
The other congruency criteria that can be used is Angle-Angle-Side (AAS).
Therefore,
Conclusion:
Therefore, the other congruency criteria that can be used is Angle-Angle-Side (AAS) congruency criteria.
c.
To find which of the methods (SSS, SAS, ASA, AAS or HL) could be used instead of the method listed.
c.
Answer to Problem 14CE
Angle-Angle-Side (AAS)
Explanation of Solution
Given:
Two congruent triangles congruent by Leg-Leg Method (LL).
The given triangles
Leg-Acute Angle Method (LA): If a leg and an acute angle of one right triangle are congruent to the corresponding parts in the other right triangle, then the triangles are said to be congruent .
The other congruency criteria that can be used is Angle-Angle-Side (AAS).
Therefore,
Conclusion:
Therefore, the other congruency criteria that can be used is Angle-Angle-Side (AAS) congruency criteria.
Chapter 4 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
Additional Math Textbook Solutions
Linear Algebra with Applications (9th Edition) (Featured Titles for Linear Algebra (Introductory))
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Linear Algebra with Applications (2-Download)
Probability and Statistical Inference (9th Edition)
Statistics for Business and Economics (13th Edition)
Calculus for Business, Economics, Life Sciences, and Social Sciences (13th 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