Which are necessary conditions to apply the SAS Triangle Congruence Theorem? Select all that apply.

A. Two sides and the included angle of a triangle are congruent to the corresponding parts of another triangle.
B. Two angles and the included side of one triangle are congruent to the corresponding parts of another triangle.
C. An angle and the two sides collinear with the angle's rays are congruent to the corresponding parts of another triangle.
D. Two sides and any angle of one triangle are congruent to the corresponding parts of another triangle.

The statements that will apply that meets the conditions for two triangles to be considered congruent to each other by the SAS Congruence Theorem are:

A. corresponding two sides and an included angle that are congruent in both triangles

C. A pair of two sides that are collinear to an angle's ray and an angle, which are congruent to the corresponding two sides and angle in the other triangle.

Recall:

SAS Triangle Congruence Theorem states that if two triangles have a pair of corresponding two sides and an included angle that are congruent to each other, then the two triangles are considered congruent to each other.

The image shows two triangles that are congruent by the SAS Congruence Theorem.

Therefore the statements that will apply that meets the conditions for two triangles to be considered congruent to each other by the SAS Congruence Theorem are:

A. corresponding two sides and an included angle that are congruent in both triangles

C. A pair of two sides that are collinear to an angle's ray and an angle, which are congruent to the corresponding two sides and angle in the other triangle.

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