Which theorem is not a valid theorem to show that two triangles are congruent?
A. SAS Triangle Congruence Theorem
B. SSA Triangle Congruence Theorem
C. ASA Triangle Congruence Theorem
D. AAS Triangle Congruence Theorem

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Answer:

B

Step-by-step explanation:

I got 100 on my test and that was my answer

This is about Knowledge of Congruence Theorems of Triangles.

Option B is not Valid

In Congruence theorems, we have 4 major types which are;

1) SSS Congruency Theorem; This one denotes Side - Side - Side and it means that if 3 sides of a triangle are equal to corresponding 3 sides of another triangle, then they are both congruent.

2)  SAS Congruency Theorem; This one denotes Side - Angle - Side and it means that if 2 sides and one angle of a triangle are equal to corresponding 2 sides and one angle of another triangle, then they are both congruent.

3) ASA Congruency Theorem; This one denotes Angle - Side - Angle and it means that if 2 angles and the included side of a triangle are equal to corresponding 2 angles and the included side of another triangle, then they are both congruent.

4) AAS Congruency Theorem; This one denotes Angle - Angle - Side and it means that if 2 angles and the non-included side of a triangle are equal to corresponding 2 angles and the non-included side of another triangle, then they are both congruent.

Looking at the options, the only one that is not Valid is Option B.

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