Question

(a) problem 11: (first taught in lesson 13)
from this given statement, select the definition, property, postulate, or theorem that justifies the prove statement.
given: ac + ci = ig + ci,
ac + ci = ai, and
ig + ci = cg
prove: ai = cg

Explanation:

Step1: Substitute using given equations

Since AC + CI = AI and IG + CI = CG, and AC + CI = IG + CI (given), we can substitute.

Step2: Conclude the result

By the substitution property of equality, if two expressions are equal and we can substitute one for the other in an equation, we get AI = CG.

Answer:

AI = CG