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Mathematics, 22.01.2021 18:50 savannahvargas512
Concrete workers are busy preparing to pour a rectangular patio on the rear of Miguel's new house. The workers have laid out, using boards, what appears to be rectangle to frame where the concrete will go. What could the workers do to ensure the patio is really rectangular before pouring the concrete?
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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
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Concrete workers are busy preparing to pour a rectangular patio on the rear of Miguel's new house. T...
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