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i. ABD congruent to ACD
ii. AD is the bisector of angle A
iii. AD is perpendicular to BC
In the ABD and ACD,
Sides AB = AC
As D is the mid-point of the side BC
BD = DC
& AD = AD
According to SSS rule, which is applied for proving the congruency of two triangles. The SSS rule explains that, the congruency of the triangles depends on the feature of three equal sides in a triangle.
ABD is congruent to ACD
Therefore, angle BAD = angle CAD
Angle ADB = Angle ADC = 180°/2 = 90°
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