Question

the theorem used to prove the similarity of triangles by comparing the ratios of their corresponding sides is called _____________.
the ratio of the lengths of corresponding sides of similar triangles is known as the _____________.
triangles that have the same shape but not necessarily the same size are called _____________ triangles.
in the sss similarity theorem, the corresponding sides of the triangles must be _____________.
the use of sss similarity in creating accurate maps is a practice in _____________.
architects use sss similarity to create accurate _____________ models of buildings.
engineers use sss similarity to design and test _____________ models of structures.

Explanation:

1. The Side - Side - Side (SSS) similarity theorem is used to prove triangle similarity by comparing side - length ratios.
2. The ratio of corresponding - side lengths in similar triangles is the scale factor.
3. Triangles with the same shape but different sizes are similar triangles.
4. In the SSS similarity theorem, corresponding sides must be proportional.
5. Using SSS similarity in map - making is an application of scale and proportion in cartography.
6. Architects use SSS similarity to create scale models of buildings.
7. Engineers use SSS similarity to design and test scale models of structures.

Answer:

1. SSS (Side - Side - Side) similarity theorem
2. Scale factor
3. Similar
4. Proportional
5. Cartography
6. Scale
7. Scale