SELECT THE WORD TO MAKE THE STATEMENT TRUE.
SIMILAR POLYGONS ARE ______ DIFFERENT SHAPES.
ALWAYS
SOMETIMES
NEVER
cap
Similar means the same shape !
They can be different sizes but must be the same shape.
To determine which word would make the statement true, we need to understand the concept of similar polygons. Similar polygons are polygons that have the same shape but not necessarily the same size. In other words, their corresponding angles are equal, and their corresponding sides are in proportion.
Now, considering the statement "Similar polygons are ______ different shapes," let's evaluate the options:
1. ALWAYS: If we use the word "always" in the blank, the statement would read "Similar polygons are always different shapes." This statement is not true because similar polygons have the same shape, just with different sizes.
2. SOMETIMES: If we use the word "sometimes" in the blank, the statement would read "Similar polygons are sometimes different shapes." This statement is also not true because similar polygons always have the same shape.
3. NEVER: If we use the word "never" in the blank, the statement would read "Similar polygons are never different shapes." This statement is true because similar polygons always have the same shape.
Therefore, to make the statement true, the correct word to select is "NEVER."