Question

from given if AC=BD, then prove that AB=CD​.

Answer 1

Answer:

If AC=BD then AC-BC=BD-BC.

AC-BC=AB and BD-BC =CD

Hence, AC-BC=BD-BC=AB=CD.

Therefore AB=CD.

Answer 2

EXPLANATION :

1. AC = AB + BC.....GIVEN
2. BD = BC + CD.....GIVEN
3. AD = AB + BC + CD
4. AB + BC + CD = AC + CD.....From 1
5. AB + BD = AC + CD.....From 2
6. AB = CD.....By eliminating AC and BD because they are equal.