Help.. Conjecture: If a point is on the perpendicular bisector of a line segment, then that point must be the same distance from each endpoint of the segment. Sketch and label a diagram of this situation. Mark any segments or angles you know to be congruent. b. Mark any other information you know. Find (or add auxiliary lines to find) 2 triangles that appear congruent. Shade in the 2 triangles using different colored pencils. a. Do you have enough information to prove that the 2 triangles in your diagram are congruent? Explain your reasoning.