Question

In figure 3.98. seg AB is a diameter of
a circle with centre 0. The bisector
ACB intersects the circle at point D.
Prove that seg AD 3 seg BD.
Complete the following proof by filling
in the blanks
Proof Draw seg OD.
Fig. 3.98
2 ACB = .......... angle inscribed in semicircle
DCB = ...... CD is the bisector of 2C
mi arc DB) = .......... inscribed angle theorem
DOB = .......... definition of measure of an arc (1)
seg OA seg OB ..........
line OD is of seg AB .......... From (1) and (II)
seg AD seg BD ​

Answer 1

Step-by-step explanation:

∠ACB = 90°................angle inscribed in semicircle

∠DCB = 45°.................CD is the bisector of ∠C

m (arc DB) = 90° ...........Inscribed angle theorem

∠DOB = 90°.................. definition of the measure of an arc (i)

seg (OA) ≅ seg (OD)............Radius of the circle (II)

∴ line OD is Perpendicular bisector of seg AB ...........From (I) and (ii)

∴ seg AD ≅ seg BD

Learn more about the theorems of the circle from  https://brainly.in/question/7611396

Answer 2

figure 3.98. seg AB is a diameter of

figure 3.98. seg AB is a diameter ofa circle with centre 0. The bisector

figure 3.98. seg AB is a diameter ofa circle with centre 0. The bisectorACB intersects the circle at point D.

figure 3.98. seg AB is a diameter ofa circle with centre 0. The bisectorACB intersects the circle at point D.Prove that seg AD 3 seg BD.

figure 3.98. seg AB is a diameter ofa circle with centre 0. The bisectorACB intersects the circle at point D.Prove that seg AD 3 seg BD.Complete the following proof by filling

figure 3.98. seg AB is a diameter ofa circle with centre 0. The bisectorACB intersects the circle at point D.Prove that seg AD 3 seg BD.Complete the following proof by fillingin the blanks

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figure 3.98. seg AB is a diameter ofa circle with centre 0. The bisectorACB intersects the circle at point D.Prove that seg AD 3 seg BD.Complete the following proof by fillingin the blanksProof Draw seg OD.Fig. 3.98

figure 3.98. seg AB is a diameter ofa circle with centre 0. The bisectorACB intersects the circle at point D.Prove that seg AD 3 seg BD.Complete the following proof by fillingin the blanksProof Draw seg OD.Fig. 3.982 ACB = .......... angle inscribed in semicircle

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figure 3.98. seg AB is a diameter ofa circle with centre 0. The bisectorACB intersects the circle at point D.Prove that seg AD 3 seg BD.Complete the following proof by fillingin the blanksProof Draw seg OD.Fig. 3.982 ACB = .......... angle inscribed in semicircleDCB = ...... CD is the bisector of 2Cmi arc DB) = .......... inscribed angle theoremDOB = .......... definition of measure of an arc (1)seg OA seg OB ..........

figure 3.98. seg AB is a diameter ofa circle with centre 0. The bisectorACB intersects the circle at point D.Prove that seg AD 3 seg BD.Complete the following proof by fillingin the blanksProof Draw seg OD.Fig. 3.982 ACB = .......... angle inscribed in semicircleDCB = ...... CD is the bisector of 2Cmi arc DB) = .......... inscribed angle theoremDOB = .......... definition of measure of an arc (1)seg OA seg OB ..........line OD is of seg AB .......... From (1) and (II)

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