2. the data in the table represent the training times (in seconds) for adam and miguel. adam 103 105 104 106 100 98 92 91 97 101 miguel 88 86 89 93 105 85 92 96 97 94 (a) all of the training times of which person had the greatest spread? explain how you know. (b) the middle 50% of the training times of which person had the least spread? explain how you know. (c) what do the answers to parts 2(a) and 2(b) tell you about adam’s and miguel’s training times?

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