1) ab¯≅ad¯ given 2)∠acd is a right angle.- given 3) m∠acd=90° -definition of right angle 4) m∠acb=90° -given 5) m∠acb=m∠acd -transitive property of equality 6) ∠acb≅∠acd definition of congruent angles 7) c is the midpoint of bd¯ given 8)c bisects bd¯ ? 9) bc¯≅cd¯ definition of bisect 10) ac¯≅ac¯ reflexive property of congruence 11) △abc≅△adc -sas congruence postulate what is the correct reason for statement 8? given definition of bisect definition of congruent segments definition of midpoint

By definition of midpoint.

Step-by-step explanation:

proof:

1.Statement: .

Reason: Given.

2.Statement: is a right angle.

Reason:Given.

3.Statement:.

Reason: By definition of right angle.

4.Statement: .

Reason: Given.

5.Statement:

Reason: Transitive property of equality.

6. Statement:.

Reason: By definition of congruent triangles.

7.C is the midpoint of .

Reason: Given.

8.Statement: C bisect

Reason: By definition of midpoint.

9.Statement:

Reason: By definition of bisect.

10.Statement:

Reason: By reflexive property of congruence.

11.Statement:.

Reason: SAS congruence postulate.