In the given triangle with as a line segment such that and . Which of the following is true?
Options
A
by SSS
B
by SAS
C
D
All of the above
Answer & Analysis
Answer
D
Analysis
Question Analysis:
This question focuses on the properties of triangles divided by a line segment.
The main idea is to use the given side - length and angle - relationship information to determine triangle congruence and angle equalities.
Key Concept Explanation:
- For triangle congruence, SSS (Side - Side - Side) requires three pairs of equal sides, and SAS (Side - Angle - Side) requires two pairs of equal sides and the included angle to be equal.
- In congruent triangles, corresponding angles are equal.
Step - by - Step Solution:
1. Since , (common side), and so , by the SAS criterion, .
Also, we can consider
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