The reason that the symbol '♣' represented in Mikal's proof is Angle - Angle - Side i.e AAS.
If two more triangles have equal sides and the angles are of equal measure, and if they can superimpose on each other then the Two ore triangles are said to be congruent.
The AAS is one of the 5 congruency theorems. Angle - Angle - Side Criteria is also known as AAS Criteria.
Two triangles are said to be congruent if any two angles and the non-included side of one triangle match the corresponding angles and side of the second triangle.
Here we have
ΔABE and ΔCDE
From ΔABE and ΔCDE
⇒ AB = CD [ Sides ]
⇒ ∠ABE = ∠CDE = right angles = 90° [ Angles ]
⇒ ∠AEB = ∠CED = vertical angles theorem [ Angles ]
By the above information, we can conclude that the triangles ABE and CDE will follow the rule of Angle-Angle-Side congruency.
Therefore,
The reason that the symbol '♣' represented in Mikal's proof is Angle - Angle - Side i.e AAS.
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Complete Question:
Mikal is proving that AE ≅ CE . Triangles A B E and C D E are connected at point E. Angles A B E and E D C are right angles. The lengths of A C and D C are congruent. Which reason does the ♣ represent in Mikal’s proof? SAS SSS ASA AAS the
picture cut off the final answer AAS
