Which congruence postulate can be used to prove that ?
Options
A
ASA (Angle - Side - Angle)
B
AAS (Angle - Angle - Side)
C
SAS (Side - Angle - Side)
D
SSS (Side - Side - Side)
Answer & Analysis
Answer
B
Analysis
Question Analysis:
This question mainly focuses on choosing the appropriate congruence postulate based on the given conditions of the triangles in the figure.
The key is to identify the equal angles and sides of and in the figure and match them with the various congruence postulates.
Explanation of Key Concepts:
- ASA (Angle - Side - Angle): Requires two angles and the included side between them to be congruent in two triangles.
- AAS (Angle - Angle - Side): Requires two angles and the opposite side of one of the angles to be congruent in two triangles.
- SAS (Side - Angle - Side): Requires two sides and the included angle between them to be congruent in two triangles.
- SSS (Side - Side - Side): Requires all three sides of two triangles to be congruent.
Solution Steps:
1. By observing the figure, we know that (vertical angles are equal),
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