Parallelogram FGHJ was dilated and translated to form similar parallelogram F'G'H'J'. On a coordinate plane, 2 parallelogram are shown. Parallelogram F G H J has points (negative 4, 5), (negative 2, 5), (negative 1.5, 3), and (negative 3.5, 3). Parallelogram F prime G prime H prime J prime has points (negative 5, 2), (3, 2), (5, negative 6) and (negative 3, negative 6).

What is the scale factor of the dilation?

Given: ab ≅ cd and ad ≅ bc prove: abcd is a parallelogram. statements reasons 1. ab ≅ cd; ad ≅ bc 1. given 2. ac ≅ ac 2. reflexive property 3. △adc ≅ △cba 3. ? 4. ∠dac ≅ ∠bca; ∠acd ≅ ∠cab 4. cpctc 5. ∠dac and ∠bca are alt. int. ∠s; ∠acd and ∠cab are alt. int. ∠s 5. definition of alternate interior angles 6. ab ∥ cd; ad ∥ bc 6. converse of the alternate interior angles theorem 7. abcd is a parallelogram 7. definition of parallelogram what is the missing reason in step 3? triangle angle sum theorem sas congruency theorem sss congruency theorem cpctc