Question

the side - angle - side similarity criterion is abbreviated as __________. two triangles are similar if they have one pair of ________ angles and the sides around these angles are proportional. when two triangles are similar, their corresponding ________ are proportional. in the sas similarity criterion, the sides must be ________ to each other. the sum of the interior angles of a triangle is always ________ degrees. in geometry, an angle formed by two rays with a common endpoint is called a ________. the ratio of the lengths of two corresponding sides in similar triangles is called the __________ ratio.

Explanation:

1. The Side - Angle - Side similarity criterion is commonly abbreviated as SAS.
2. For two triangles to be similar by SAS, they must have one pair of equal angles and the sides around these angles must be proportional.
3. When two triangles are similar, their corresponding sides are proportional.
4. In the SAS similarity criterion, the sides must be proportional to each other.
5. The sum of the interior angles of a triangle is always 180 degrees.
6. An angle formed by two rays with a common endpoint is called an angle.
7. The ratio of the lengths of two corresponding sides in similar triangles is called the scale ratio.

Answer:

1. SAS
2. equal
3. sides
4. proportional
5. 180
6. angle
7. scale