- ACB = 12 cm
- BAB is shorter than AC
- CCB = 5 cm
- DAC is greater than AB
Step-by-Step Solution
C lies on AB, so AC + CB = AB. Thus CB = 12 - 7 = 5 cm. The whole AB (12 cm) is greater than each part, consistent with the axiom.
Answer: C) CB = 5 cm
Euclid's axiom states: 'The whole is greater than the part.'
A segment AB of length 12 cm has a point C on it such that AC is a part of AB.
If AC = 7 cm, which statement is necessarily true by this axiom and the definition of a point on a segment?
Class 9Geometrical Terms and DefinitionsGeometry — Foundations
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