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which of the following is the included sides shown in the asa image? ab…

Question

which of the following is the included sides shown in the asa image?
ab ≅ de
bc ≅ ef
ac ≅ df

Explanation:

Step1: Recall ASA (Angle - Side - Angle)

ASA congruence requires two angles and the included side.

Step2: Analyze the given options

In the ASA image, the side is between the two angles. Looking at the options:

  • For \(AB\cong DE\): In the ASA - type triangles (top - left pair in the image), \(AB\) and \(DE\) are the sides between the two marked angles.
  • \(BC\cong EF\) is part of the SAS (Side - Angle - Side) congruence (middle - left pair in the image).
  • \(AC\cong DF\) is not the included side in the ASA - type triangles shown.

Answer:

\(AB\cong DE\)