Answer:
The correct options are;
3 Congruent sides
Corresponding congruent Angle-Side-Angle
Corresponding congruent Side-Angle-Side
Corresponding congruent Side-Side-Angle
Step-by-step explanation:
The conditions for congruency are;
Two triangles are congruent when
AAS which is the acronym for corresponding Angle-Angle-Side are congruent
SAS which is the acronym for corresponding Side-Angle-Side are congruent
SSS which is the acronym for corresponding Side-Side-Side are congruent
ASA which is the acronym for corresponding Angle-Side-Angle are congruent.
The criteria that always proves triangles
are congruent are;
Option A; Corresponding congruent Angle-Side-Angle
Option A; Corresponding congruent Angle-Side-AngleOption B; Corresponding congruent Side-Angle-Side
Option A; Corresponding congruent Angle-Side-AngleOption B; Corresponding congruent Side-Angle-SideOption D: 3 congruent sides
There are some congruence theorems that prove that two triangles are congruent and they are;
1) SSS; This means Side - Side - Side and it denotes that the 3 corresponding sides of both triangles are congruent.
2) SAS; This denotes Side - Angle - Side and it denotes that the 2 corresponding sides and the included corresponding angle are congruent.
3) ASA; This denotes Angle - Side - Angle and it means that the 2 corresponding angles and the included corresponding side are congruent.
4) AAS; This denotes Angle - Angle - Side and it denotes that the 2 corresponding angles and corresponding non-included side are congruent.
In conclusion, from the options, options A, B & D.
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