![]() Because the Angle Bisector Theorem and its converse are both true we have a biconditional statement. The altitude is a line segment that extends from a vertex and that is perpendicular to the side opposite the vertex. Angle Bisector Theorem Converse: If a point is in the interior of an angle and equidistant from the sides, then it lies on the bisector of the angle. Here EG (2/3)EC, FG (2/3)FA, and DG (2/3)DB. triangles Share Cite Follow edited at 15:29 asked at 13:53 Nameless 1,430 13 30 Add a comment 1 Answer Sorted by: 1 This can happen if we dont specify whether X is inside or outside interval B C ¯. It cannot distinguish right triangles from non-right triangles. The converse of this theorem is also true. The statement of the converse theorem is: Any two triangles with corresponding sides intersecting in collinear points have corresponding vertices that lie. ![]()
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