Two polygons are similar if and only if their corresponding angles are congruent and corresponding side lengths are proportional.
Yes, see solution.
Practice makes perfect
Let's begin with recalling the definition of similar polygons.
Two polygons are similar if and only if their corresponding angles are congruent and corresponding side lengths are proportional.
Since both figures are rectangles, they have congruent angles, so to determine if these objects are similar, we need to check if their corresponding sides are proportional. Let's check if the ratio of longer dimensions is equal to the ratio of shorter dimensions.
3/12? =2/8
We can simplify these quotients by reducing the fractions.
3/12? =& 2/8 ⇓
1/4=& 1/4
Since we got a true statement, the corresponding sides are proportional. This means that the photo and poster are similar.
