In the figure, for and . What additional two conditions are needed to prove by the SAS (Side - Angle - Side) criterion?
Options
A
and
B
and
C
and
D
and
Answer & Analysis
Answer
A
Analysis
Question Analysis:
This question focuses on the SAS congruence criterion for triangles.
The key is to determine which two additional conditions, along with the common angle , will satisfy the SAS requirement for proving .
Key Concept Explanation:
The SAS (Side - Angle - Side) congruence criterion states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.
Step - by - Step Solution:
We already have as the common (included) angle.
- Option A: If and , then we have two sides and the included angle (
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