Answer:
Option D is correct.
No; the corresponding sides are not proportional.
Step-by-step explanation:
Two figures are said to be similar
*if they are the same shape.
*if their corresponding angles are congruent and
* the ratios of the length of their corresponding sides are equal.
Since, the given two figures are the same shape
To decide, if these two polygon are similar:
the given polygon has four sides, so we will look at the ratio of each of the corresponding sides.
[tex]\frac{AB}{EF} =\frac{2}{5}[/tex]
[tex]\frac{AD}{EH} =\frac{2}{5}[/tex]
[tex]\frac{BC}{FG} =\frac{10}{20}=\frac{1}{2}[/tex]
[tex]\frac{DC}{HG} =\frac{10}{20}=\frac{1}{2}[/tex]
since, ratios of all the corresponding sides are not equal therefore the given polygon figures are not similar.
Hence, the two figures are not similar because their corresponding sides are not proportional.
