Match the reasons with the statements given. given: 1 = 2 5 = 6 prove: mq = mp 1. ∠3, ∠5 are supplementary and ∠4, ∠6 are supplementary exterior sides in opposite rays. 2. ∠5 = ∠6 and ∠1 = ∠2 reflexive 3. ∠3 = ∠4 cpcte 4. mn = mn supplements to = angles. 5. triangle mnq congruent to triangle mnp given 6. mq = mp asa

Afunction g(x) has x-intercepts at (, 0) and (6, 0). which could be g(x)? g(x) = 2(x + 1)(x + 6) g(x) = (x – 6)(2x – 1) g(x) = 2(x – 2)(x – 6) g(x) = (x + 6)(x + 2)

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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?