Concept explainers
To prove: that
Explanation of Solution
Given information:
Given:
Given figure,
Calculation:
The two
Congruency of triangles can be proved by SSS, SAS and ASA, AAS and HL postulates.
To prove that two segments or two angles are congruent, firstly identity the two triangles in which that two segments or angles are corresponding parts. After that, prove that the identified triangles are congruent and then, state that the two parts are congruent using the reason “Corresponding parts of
The Isosceles Triangle Theorem: If two sides of a triangle are congruent, then the angles opposite to those sides are congruent.
Converse of Isosceles Theorem: If the two angles of a triangle are congruent, then the sides opposite to those angles are congruent.
Given:
Prove:
Proof:
1.
Reason: Given
2.
Reason: Converse of isosceles theorem
3.
Reason: Given
4.
Reason: Reflexive property
5.
Reason: SAS postulate
6.
Reason: Definition of isosceles triangle.
Chapter 4 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
Additional Math Textbook Solutions
Elementary and Intermediate Algebra: Concepts and Applications (7th Edition)
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A Survey of Mathematics with Applications (10th Edition) - Standalone book
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