Question

Someone please help with these questions

Answer 1

Question 4:

  Statement                                           Reason

1. $\overline{AC}$ and $\overline{BD}$ bisect at O                    1. Given

2. O is the midpoint of $\overline{AC}$ and $\overline{BD}$   2. Definition of bisector

3. $\overline{AO}$ ≅ $\overline{CO}$ and $\overline{BO}$  ≅ $\overline{DO}$                3. Definition of midpoint

4. ∠AOB ≅ ∠COD                                4. Vertical Angle theorem

5. ΔAOB ≅ ΔCOD                                5. SAS postulate

6. ∠A ≅ ∠C                                           6. CPCTC

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Question 5:

  Statement                                    Reason

1.  $\overline{BD}$ ≅ $\overline{BC}$ and $\overline{AD}$ ≅ $\overline{CD}$         1. Given

2. $\overline{BD}$ ≅ $\overline{BD}$                                 2. Reflexive Property

3. ΔABD ≅ ΔCBD                         3. SSS Postulate

4. ∠1 ≅ ∠2 and ∠3 ≅ ∠4               4. CPCTC

5. $\overline{BD}$ bisects ∠ABC and ∠ADC  5. Definition of angle bisector