Proof that the bisector of an isosceles triangle also bisects the angle.
A line segment's midpoint is the point on the segment where it divides into two congruent parts. a right-angled segment bisector that crosses the segment. A line (or portion of a line) that cuts through the middle is known as a segment bisector.
When two lines cross at right angles or 90 degrees, they are said to be perpendicular to one another. A line that splits a line into two equally sized halves is known as a bisector. A line segment's perpendicular bisector implies that it intersects the segment at a 90-degree angle and splits it into two equal halves.
Let ABC be the isosceles triangle with AB=AC, B=C, and BAD=CAD as the vertical angle bisectors.
As a result, the triangles satisfy the ASA criterion.
⟹BD=DC
Thus, the base is divided by the vertical angel's bisector.
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