Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Pentagon D F G H J is shown inside of pentagon A B C D E.
ABCDE ~ GHJDF. Complete the statements.
∠H≅□
GHDJ=AB□
(2 points)
To solve this problem, we first need to identify the corresponding angles and sides between the two similar pentagons.
Given:
Pentagon ABCDE is similar to pentagon GHJDF.
To complete the statements:
1. ∠H ≅ ∠C (corresponding angles in similar polygons are congruent)
2. GHJ/AB = DF/CE (corresponding sides in similar polygons are proportional)
GHJ/AB = DF/DE (since CE = DE in pentagon ABCDE)
Therefore, the complete statements are:
1. ∠H ≅ ∠C
2. GHDJ = ABCE