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Anton [14]
3 years ago
10

Prove: DC = DB

Mathematics
1 answer:
tiny-mole [99]3 years ago
7 0

Answer:

Option (D)

Step-by-step explanation:

           Statements                                                Reasons

1. DG ⊥ AC                                                   1. Given

2. AG = GC                                                   2. Given

3. DG is the perpendicular bisector of AC 3. deduced from step 1 and 2

4. DA = DC                                                 4. Perpendicular bisector theorem

5. DH ⊥ AB                                                  5. Given

6. AH = HB                                                  6. Given

7. DH is the perpendicular of AB      7. Definition of perpendicular bisector

8. DA = DB                                                   8. Deduced from steps 6 and 7

9. DC = DB                                                   9. Transition property of equality

Therefore, Option (D) will be the answer.

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