Question

3 match the vocabulary word to the correct definition
the sum of all three angles in a triangle is 180°.
matching parts of an original figure and its scaled copy that are in the same relative position
in two triangles, if all three pairs of corresponding sides are congruent, then the triangles must be congruent
in two triangles, if two pairs of corresponding sides and the pair of corresponding angles between them are congruent, then the triangles must be congruent
in two triangles, if a pair of corresponding sides are congruent between two pairs of corresponding congruent angles, then the two triangles are congruent.
drag & drop the answer
triangle angle sum theorem corresponding parts sss sas asa

Explanation:

Step1: Match angle sum rule

The statement "The sum of all three angles in a triangle is 180°" corresponds to the Triangle Angle Sum Theorem.

Step2: Match congruent figure parts

The statement "matching parts of an original figure and its scaled copy that are in the same relative position" corresponds to corresponding parts.

Step3: Match 3-side congruence rule

The statement "In two triangles, if all three pairs of corresponding sides are congruent, then the triangles must be congruent" corresponds to SSS (Side-Side-Side) congruence criterion.

Step4: Match side-angle-side rule

The statement "In two triangles, if two pairs of corresponding sides and the pair of corresponding angles between them are congruent, then the triangles must be congruent" corresponds to SAS (Side-Angle-Side) congruence criterion.

Step5: Match angle-side-angle rule

The statement "In two triangles, if a pair of corresponding sides are congruent between two pairs of corresponding congruent angles, then the two triangles are congruent" corresponds to ASA (Angle-Side-Angle) congruence criterion.

Answer:

1. "The sum of all three angles in a triangle is 180°" → Triangle Angle Sum Theorem
2. "matching parts of an original figure and its scaled copy that are in the same relative position" → corresponding parts
3. "In two triangles, if all three pairs of corresponding sides are congruent, then the triangles must be congruent" → SSS
4. "In two triangles, if two pairs of corresponding sides and the pair of corresponding angles between them are congruent, then the triangles must be congruent" → SAS
5. "In two triangles, if a pair of corresponding sides are congruent between two pairs of corresponding congruent angles, then the two triangles are congruent" → ASA