Question

the geometric principle that if three sides of one triangle are equal to three sides of another, the triangles are
the congruence rule that does not require angle measurements, only side lengths, is called
before applying the sss rule, the first step is to the sides of the triangle.
to determine if triangles are congruent using sss, one must the lengths of corresponding sides.
when triangles are found to be congruent using the sss rule, it is confirmed that their are also congruent.
when using sss congruence, triangles are often checked for dimensional
accurate of sides is the key to effectively using the sss rule in geometry.

Explanation:

1. The principle that if three sides of one triangle equal three sides of another, the triangles are congruent by the SSS (Side - Side - Side) congruence criterion.
2. The SSS congruence rule only considers side - lengths and not angle - measurements.
3. Before applying SSS, one must identify the sides of the triangles.
4. To use SSS for congruence determination, one must compare the lengths of corresponding sides.
5. When triangles are congruent by SSS, their corresponding angles are also congruent (by the properties of congruent triangles).
6. When using SSS, triangles are checked for dimensional equality.
7. Accurate measurement of sides is crucial for using the SSS rule.

Answer:

1. congruent
2. SSS (Side - Side - Side)
3. identify
4. compare
5. corresponding angles
6. equality
7. measurement