Question 1

Extra points!!

Given: Circle M
Given: Segment MA bisects Segment BC
Prove: Angle B is congruent to Angle C

Extra points!! Given: Circle M Given: Segment MA bisects Segment BC Prove: Angle B-example-1

Question 2

Answer:

See Explanation

Explanation:

$In \: \odot M, \: \overline{MA} \: bisects \: \overline {BC}\\... (given) \\\\\therefore \overline{MN} \: bisects \: \overline {BC}\\... (\because B-N-C) \\\\\therefore BN \cong NC... (1)\\\\In\: \triangle BMN \:\&\:\triangle CMN\\\\BM\cong CM\\ (radii \: of \: same \: circle) \\\\MN\cong MN\\ (common \:side) \\\\BN \cong NC\\ (from\:1)\\\\\triangle BMN \:\cong\:\triangle CMN\\.. (by\: SSS\: postulate) \\\\\therefore \angle B\cong \angle C.. (CACT)$

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