We can see that all of the angles in both figures are right angles. Therefore, all of the corresponding angles are congruent. Note that the given figures are rectangles. Therefore their opposite sides are congruent.
Let's now check whether corresponding sides are proportional.
Proportion
Simplify
4/8
1/2
5/10
1/2
4/8
1/2
5/10
1/2
Since all of the proportions are the same, all of the corresponding sides are proportional. Therefore, the polygons are similar.
