Question

1) AB¯≅AD¯ Given

Answer 1

Answer:

By definition of midpoint.

Step-by-step explanation:

proof:

1.Statement: $\overline{AB}\cong \overline{AD}$.

Reason: Given.

2.Statement: $\angleACD$ is a right angle.

Reason:Given.

3.Statement:$m\angle ACD=90^{\circ}$.

Reason: By definition of right angle.

4.Statement: $m\angle ACB=90^{\circ}$.

Reason: Given.

5.Statement: $m\angle ACB=m\angle ACD$

Reason: Transitive property of equality.

6. Statement:$m\angle ACB\cong m\angle ACD$.

Reason: By definition of congruent triangles.

7.C is the midpoint of $\overline {BD}$.

Reason: Given.

8.Statement: C bisect $\overline{BD}$

Reason: By definition of midpoint.

9.Statement:$\overline{BC}\cong \overline{CD}$

Reason: By definition of bisect.

10.Statement:$\overline{AC}\cong\overline{AC}$

Reason: By reflexive property of congruence.

11.Statement:$\triangle ABC\cong \triangle ADC$.

Reason: SAS congruence postulate.

Answer 2

The answer is the definition of midpoint