Question

2. In question 1, AC=BD, prove that AB = CD.​

Answer 1

Given, 

AC=BD    ... (i)

AC=AB+BC    ……(ii) (Point B lies between A and C)

BD=BC+CD    … (iii)   (Point C lies between B and D)

Now, 

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

⇒AB+BC=BC+CD

⇒AB+BC–BC=CD

⇒AB=CD

Hence, AB=CD.

Answer 2

Answer:

Answer

Given,

V

AC=BD... (i)

AC=AB+BC....(ii) (Point B lies

between A and C)

BD=BC+CD

... (iii) (Point C lies

between B and D)

Now,

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

→ AB+BC=BC+CD

→ AB+BC-BC=CD

→ AB=CD

Hence, AB=CD.

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Step-by-step explanation:

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