Question

3. Prove the side-side-side congruence test following the steps below. Assume that A, B, C, resp. D, E, F are three non-collinear points and the corresponding segments are congruent, that is, AB 본 DE, BC EF and CA FD. (Your ultimate goal will be to show that AABCADEF, that is, the angles corresponding to each other are also congruent; for example, CAB4FDE, and so on.) (a) Prove that there exists a point C such that line AB separates C and C' and L.DEF ΔΑΒΟ". (10 points) (b) Consider the intersection point of line AB and segment CC, and denote it by P (why does it exist?). For simplicity, you can assume that A*PB (this is not always the case, but the other cases are similar, no need to discuss here) 4PCA and

Answer 1

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