Suppose 1 2
3
-1 2
4 8
žm
m x
and
4.
(H +[1 4 -2]) + [3 2 -6]= [-2 8 -1]+(1 4 -2] + [3 2 -6])
What matrix is the result of m x H?
Enter your answer by filling in the boxes. Enter any fractions as simplified fractions.
m x H = [

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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