In the figure, we have , , and is common. Are and congruent?
Options
A
Yes, by SSA.
B
No, because SSA is not a valid congruence criterion.
C
Yes, by SAS.
D
There is not enough information to determine.
Answer & Analysis
Answer
B
Analysis
Question Analysis:
This question focuses on the concept of triangle congruence, specifically testing the understanding of the SSA (Side - Side - Angle) condition.
The main point is to recognize the limitations of SSA for proving triangle congruence.
Key Concept Explanation:
SSA is not a legitimate triangle congruence postulate.
When two sides and a non - included angle of one triangle match those of another, two distinct triangles can often be formed, as depicted in the figure.
The only exception is the Hypotenuse - Leg (HL) case for right triangles.
Step - by - Step Solution:
We are given that , , and
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.