Question

Match the statement with the appropriate reason for the proof above. Answers may be used more than once. You will have to fill in the blanks for 3
and 9 so you know the reason to match it with, but you are not picking solutions for 3 and 9

Answer 1

Answer:

Step-by-step explanation:

From the given question, the following statements and reasons can be matched;

          Statement                                                Reason

1. <1 and <2 are linear pair                               Given

2. <1 and <2 are supplementary                     Linear pair postulate

3. <1 ≅ <2                                                          

4. <1 ≈ <2                                                           Given

5. m<1 = m<2                                                     Substitution POE

6. m<1 + m<2 = $180^{o}$                                          Def of supplementary angles

7. 2(m<1) = $180^{o}$                                                  Simplify/ Combine like terms

8. m<1 = $90^{o}$                                                        Definition of right angle

9. 2(m<2) = $180^{o}$                                        

10. g ⊥ h                                                             Def of perpendicular lines