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