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Answer:
a) Yes
b) Yes
c) YES
Step-by-step explanation:
a) In triangle ABD and tri. ACD
AB=AC (equal sides of isocscles triangle)
AD=AD (common)
<BAD=<CAD (AD is the bisector of <A)
HENCE, PROVED
b) <ADB=<ADC (CPCT of triangles proved congruent in "a")
<ADB+<ADC=180° (Sum of angles on a straight line)
2<ADB =180°
<ADB = 180°/2
<ADB=90°
c) BD=DC (CPCT)
Therefore, D is the mid-point of BC
THANK YOU!
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