- AAC = BD
- BAC > BD
- CAC = AD
- DAB = AD
Step-by-Step Solution
AB = CD. Add BC to both: AB + BC = CD + BC, i.e. AC = BD (adding equals to equals).
Answer: A) AC = BD
On segment AD, points B and C lie in order so that AB = CD. Adding BC to each of these equal parts gives AB + BC and BC + CD.
What does Euclid's addition axiom let us conclude?
Class 9Euclid's AxiomsGeometry — Foundations
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