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an angle bisector For the perpendicular line construction, students rely on their experience with the perpendicular bisector construction. This means that you're just finding the average of the x and y coordinates of th) coordinates of (2, 5) and the (x See more. A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. A line, segment, or ray that passes through the midpoint of a side that is creates a 90 degree angle with that side. Problem 1 Using the Perpendicular Bisector Theorem Algebra What is the length of ABl BD is the perpendicular bisector of AC, so B is equidistant from A and C. Angle bisector. (Hint: Show that the angle bisector is the same line as the perpendicular bisector, or vice versa. ¯ AB ≅ ¯ BC ¯ AC ⊥ ↔ DE Figure 1. 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