Question

the relationship between two figures where corresponding side lengths are in the same ratio is called ____. a coordinate plane is a useful tool to visualize transformations and compare __ between figures. similar figures have the same ____ but may have different sizes.

Explanation:

First Question:

The relationship between two figures with corresponding side lengths in the same ratio is the definition of similarity in geometry. So the term is "similarity".

A coordinate plane helps visualize transformations and compare positions (or coordinates, or relationships) between figures. The most appropriate term here is "coordinates" or "positions", but in the context of comparing figures (especially in transformation and similarity), "coordinates" or "relationships" can be used. However, a common term is "coordinates" or "corresponding parts". But more accurately, when using a coordinate plane to compare figures, we compare their "coordinates" or "positions" or "corresponding parts". A precise term here is "coordinates" or "relationships", but the best fit is "coordinates" (or "corresponding parts"). However, another common answer is "distances" or "coordinates", but the most accurate in the context of transformations and comparing figures is "coordinates" or "corresponding parts". But the standard answer here is likely "coordinates" or "relationships", but more precisely, "coordinates" (since coordinate plane uses coordinates to compare).

Similar figures have the same shape (their corresponding angles are equal and sides are in proportion) but different sizes. So the term is "shape".

Answer:

similarity

Second Question: