50 points and brainliest for two two-column proofs asap!

1. in the figure below, δabc ≅ δdef. point c is the point of intersection between segment ag and segment bf , while point e is the point of intersection between segment dg and segment bf. prove δabc ∼ δgec.

statements

reasons (blanks)

1. δabc ≅ δdef

1.

2. ∡acb ≅ ∡gce

2.

3. ∡abc ≅ ∡def

3.

4. ∡def ≅ ∡gec

4.

5. ∡abc ≅ ∡gec

5.

6. δabc ~ δgec

6.

2. look at the figure below:

make a two-column proof showing statements and reasons to prove that triangle def is similar to triangle dge.

statements

reasons (blanks)

1. angle deg in triangle dge is congruent to angle efd in triangle def

1.

2. angle edg is common to both triangle def and triangle dge

2.

3.triangle def is similar to triangle dge

3.

Design an er diagram for keeping track of information about votes taken in the u. s. house of representatives during the current two-year congressional session. the database needs to keep track of each u. s. state's name (e. g., texas', new york', california') and include the region of the state (whose domain is {northeast', midwest', southeast', southwest', west'}). each congress person in the house of representatives is described by his or her name, plus the district represented, the start date when the congressperson was first elected, and the political party to which he or she belongs (whose domain is {republican', democrat', 'independent', other'}). the database keeps track of each bill (i. e., proposed law), including the bill name, the date of vote on the bill, whether the bill passed or failed (whose domain is {yes', no'}), and the sponsor (the congressperson(s) who sponsored - that is, proposed - the bill). the database also keeps track of how each congressperson voted on each bill (domain of vote attribute is {yes', no', abstain', absent'}). additional information: