To find: the method for the given two
Answer to Problem 14CT
The above two triangles are congruent by SAS postulate.
Explanation of Solution
Given information:
Given figure,
Calculation:
SSS Postulate: If three sides of a triangle are equal to the three corresponding sides of another triangle, then the triangles are congruent.
SAS Postulate: If two sides and the angle included between them of a triangle are equal to the two corresponding sides and the angle included between them of another triangle, then the triangles are congruent.
ASA Postulate: If two
AAS Theorem: If two angles and non included side of a triangle is congruent to the corresponding parts of another triangle, then the triangles are said to be congruent.
HL Theorem: If the hypotenuse and a leg of one right triangle is congruent to the corresponding parts of another right triangle, then the triangles are said to be congruent
First name the figure accordingly.
In above figure consider
1.
Reason: Given
2.
Reason: given
3.
Reason: Add (1) & (2)
4.
Reason: Segment addition postulate
5.
Reason: Reflexive property
6.Therefore,
Yes, the above two triangles are congruent by SAS postulate.
Chapter 4 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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