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3.  ABC is isoceles with AB=AC. Also , AD BC meeting BC in D. Are the two triangles ABD and ACD congruent? State in symbolic form. Which congruence condition do you use? Which side of  ADC equals BD? Which angle of  ADC equals angle B?

Dear Student ,
Please find below the solution to the asked query :

In ABD and ACDAB = AC          GivenADB=ADC       Each 90°AD=AD            CommonBy RHS congruency criterion ,ABD  ACD.BD = CD                 CPCTB = C               CPCTRHS congruency condition is used.CD side of ADC is equal to BD.C of ADC is equal to B.
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yes, the two triangles are congruent.
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