Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

which two triangles are congruent by the asa theorem? complete the cong…

Question

which two triangles are congruent by the asa theorem? complete the congruence statement:

Explanation:

Step1: Recall ASA Congruence Theorem

ASA (Angle - Side - Angle) theorem states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Step2: Identify Angles and Included Side

In \(\triangle EFG\) and \(\triangle IJH\):

  • \(\angle E\cong\angle J\) (the larger marked angles)
  • The sides between the angles (the sides with one mark) are congruent.
  • \(\angle F\cong\angle H\) (the smaller non - included angles)

Answer:

\(\triangle EFG\cong\triangle JIH\)