An angle bisector.
Chat with our AI personalities
It splits one side of the triangle into two congruent parts.
side angle side means if two sides in their included angle in one triangle are congruent to the corisponding parts of the second triangle then the triangles are congruent so only if they are congruent. i need it for a classs...
No. Any three consecutive congruent parts (angle-side-angle or side-angle-side) make any two triangles completely congruent.
In the diagram, ABC is an isoscels triangle with the congruent sides and , and is the median drawn to the base . We know that ∠A ≅ ∠C, because the base angles of an isosceles triangle are congruent; we also know that ≅ , by definition of an isosceles triangle. A median of a triangle is a line segment drawn from a vertex to the midpoint of the opposite side. That means ≅ . This proves that ΔABD ≅ ΔCBD. Since corresponding parts of congruent triangles are congruent, that means ∠ABD≅ ∠CBD. Since the median is the common side of these adjacent angles, in fact bisects the vertex angle of the isosceles triangle.
Two triangles are congruent if they satisfy any of the following:-- two sides and the included angle of one triangle equal to the corresponding parts of the other one-- two angles and the included side of one triangle equal to the corresponding parts of the other one-- all three sides of one triangle equal to the corresponding parts of the other one-- they are right triangles, and hypotenuse and one leg of one triangle equal to thecorresponding parts of the other one-- they are right triangles, and hypotenuse and one acute angle of one triangle equalto the corresponding parts of the other one