ABCDE sim GHJDF. Complete the statements D a angle H cong Box b (GH)/(DJ) = (AB)/\mathbb{H} (2 points )

Question

ABCDE sim GHJDF. Complete the statements D a angle H cong Box b (GH)/(DJ) = (AB)/\mathbb{H} (2 points )

Answer 1

Given that angle H is congruent to angle D, we can conclude that triangle GHJ is similar to triangle DJF by the Angle-Angle (AA) similarity criterion.

In similar triangles, the corresponding sides are proportional. Therefore, we can set up the following proportion:

(GH)/(DJ) = (AB)/\mathbb{H}

We know GH / DJ = 1 because both sides are congruent, so our proportion simplifies to:

1 = (AB) / \mathbb{H}

Therefore, (AB) = \mathbb{H}, and the statement is complete.