please answer this as fast as you can In the graphic above, ΔABC ≅ ΔEDC by: HL. AAS. AAA. SSS.

Triangles by definition have 3 sides. If the sides are corresponding then it is beneficial to us if they are the same length as well. If all 3 sides in one triangle are equal in length to the corresponding sides in another triangle, then the triangles are congruent by SSS (side-side-side). This is the case for us. Side EC is corresponding and congruent to side AC; side CD is corresponding and congruent to side CB; side ED is corresponding and congruent to side AB.

tutorconsortium203 tutorconsortium203 · Answer 2 · 2022-07-08T14:36:02+02:00

Triangles ΔABC ≅ ΔEDC by the property of SSS ( side side side).

Congruent Triangles

What do congruent triangles means?

Triangles that are congruent share the same size and shape.

SSS Congruency:

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle.

How ΔABC ≅ ΔEDC by SSS?

Consider ΔABC and ΔEDC,

As shown in the diagram,

ED = AB

DC = CB

EC = CA

Since, all the sides of both the triangles are equal , by SSS property

ΔABC ≅ ΔEDC

To know about SSS congruency for equilateral triangle, here

https://brainly.com/question/10237142

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