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In the figure, if AC=BD, then prove that AB=CD.

Question

In the figure, if $A C = B D$ , then prove that $A B = C D$ .

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In the figure, if

A C = B D

, then prove that

A B = C D

9 mins ago

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9 mins ago

Text solutionVerified

Given,

A C = B D

... (i)

A C = A B + BC

……(ii) (Point

B

lies between

A

and

C

)

B D = BC + C D

… (iii) (Point

C

lies between

B

and

D

)

Now,

substituting (ii) and (iii) in (i), we get

\Rightarrow A B + BC = BC + C D

\Rightarrow A B + BC - BC = C D

\Rightarrow A B = C D

Hence,

A B = C D

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Question Text	In the figure, if $A C = B D$ , then prove that $A B = C D$ .
Answer Type	Text solution:1
Upvotes	151