Which is the missing step in the proof below? Given: ABCD is a parallelogram. ACED is a parallelogram.

Prove: △ABC≅△DCE
STATEMENTS REASONS
1. ABCD is a parallelogram. ACED is a parallelogram.

1. Given
2. AB¯¯¯¯¯¯¯¯≅DC¯¯¯¯¯¯¯¯; BC¯¯¯¯¯¯¯¯≅AD¯¯¯¯¯¯¯¯;

CE¯¯¯¯¯¯¯¯≅AD¯¯¯¯¯¯¯¯; CA¯¯¯¯¯¯¯¯≅ED¯¯¯¯¯¯¯¯ 2. Parallelogram Opposite Sides Theorem
3. BC¯¯¯¯¯¯¯¯≅CE¯¯¯¯¯¯¯¯ 3. Transitive Property of Congruence
4. 4.

△ABC≅△DCE by the SAS Congruence Theorem

△ABC≅△DCE by the ASA Congruence Theorem

△ABC≅△DCE by the SSS Congruence Theorem

△ABC≅△DCE by the HL Congruence Theorem

Dexter read 11 science fiction books and 5 history books. lena read 9 science fiction books and 4 history books. compare the students’ ratios of science fiction books to history books. 1. determine the ratios’ form:    science fiction books to history books 2. write the ratios as fractions:    dexter: 115; lena: 94 3. rewrite with a common denominator. 4. compare. 5. answer the question. determine which shows the correct comparison of the ratios for this problem.

Titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 4 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is w –0.414t + 129.549, where t is the number of minutes and w is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups?

Given: p: 2x = 16 q: 3x – 4= 20 which is the converse of p - q? if 2x + 16, then 3x - 4 20. if 3x –4 +20, then 2x # 16. lf 2x = 16, then 3x - 4 = 20. lf 3x – 4= 20, then 2x = 16. o o