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What are the necessary conditions to apply the SAS triangle congruence theorem?

1. Two sides and any angle of one triangle are congruent to the corresponding parts of another triangle.

2. An angle and the two sides collinear with the angles race are congruent to the corresponding parts of another triangle.

3. Two angles and the included side of one triangle are congruent to the corresponding parts of another triangle.

4. One angle and two sides of one triangle are congruent to the corresponding parts of another triangle.

I know the answer is not number 3, because I took the quiz already, I just need some help.


Sagot :

Answer:

The correct answer is 2. An angle and the two sides collinear with the angles race are congruent to the corresponding parts of another triangle.

Step-by-step explanation:

The Side Angle Side postulate (often abbreviated as SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

An included angle is an angle formed by two given sides.

So, the correct answer is 2. An angle and the two sides collinear with the angles race are congruent to the corresponding parts of another triangle.