Question

the criterion that states two triangles are congruent if two angles and the included side are congruent is called

the side located between two given angles in a triangle is called the

if two angles of a triangle are 50° and 60°, the third angle is degrees.

in the asa criterion, the s stands for

triangles that are identical in shape and size are called triangles.

the asa congruence postulate stands for angle - side - angle

in asa congruence, the included side is the side between the two angles.

Explanation:

Step1: Recall triangle - congruence criterion

The criterion for two - angle and included - side congruence is ASA (Angle - Side - Angle).

Step2: Recall triangle side - angle relationship

The side between two given angles in a triangle is the included side.

Step3: Use angle - sum property of a triangle

The sum of angles in a triangle is 180°. Let the third angle be \(x\). Then \(x=180-(50 + 60)=70\).

Step4: Understand ASA notation

In ASA, 'S' stands for side.

Step5: Recall triangle congruence definition

Triangles identical in shape and size are congruent triangles.

Step6: Recall ASA postulate

The ASA congruence postulate is Angle - Side - Angle, which is a True statement.

Step7: Recall ASA congruence

In ASA congruence, the included side is between the two given angles.

Answer:

1. ASA
2. included side
3. 70
4. side
5. congruent
6. True
7. given