Activity 3: Given the statements on the right, choose the letter that corresponds to the mathematical system described. A. Segment Congruence C. Supplement Theorem B. Line Intersection Theorem D. Vertical Angles Theorem Mathematical Statement System 1. Axiom 1: The lengths of the two segments are equal. Axiom 2: There are two equal segments. Axiom 3: A minimum of two segments exist. Two segments are congruent lf and only if they have equal length. Axiom 1: There are two vertical angles. Axiom 2: Two angles are congruent. Axiom 3: Both vertical angles are congruent. If two angles are vertical angles, then they're congruent. 2 . 3. 4. Axiom 1: There are two angles Axiom 2: The sum of the angles is 180 degrees Axiom 3: Supplementary angles exist If the sum of two angles is 180 degrees, then they are supplementary. Axiom I: Two lines intersect at a point Axiom 2: For every point two lines intersect Axiom 3: A minimum of two lines exist If two lines intersect, then they intersect in exactly one point.