Given: ABCD is a parallelogram Prove: ABCD and BCDA

Angler hagmento Triangles Statements Reasons

ASA

CPOTC

given

reflexive property

B

Reasons

6. det of all interior angles

Statements

6. BCA and /DAC

are all interior angles

7 XBCA/DAC

8. XDCAS/BAC

9.ACAC

✓ 10. AABC ACDA

11. ABCD

12. BC DA

A

D

7 alternate interior angles theorem

8. alternate interior anglos theorem

9. reflexive property

10. ASA

11. CPCTC

12. CPCTC

Correcti You have completed this

exercise

Write the contrapositive of the conditional statement. determine whether the contrapositive is true or false. if it is false, find a counterexample. a converse statement is formed by exchanging the hypothesis and conclusion of the conditional. a) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. true b) a statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. false; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional. c) a non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. false; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional. d) a statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. true