Question

In the isosceles tringle tringle ABC, CD is the perpendicular bisector of AD.
(A)Draw the figure .
(B) Prove tringle ABC =tringle BDC [SAS theroem ].
(C)Prove <ACD=<BCD [SSS theroem ] ( hlep please)​

Answer 1

In △ABD and △ACD, we have

DB=DC ∣ Given

∠ADB=∠ADC ∣ since AD⊥BC

AD=AD ∣ Common

∴ by SAS criterion of congruence, we have.

△ABD≅△ACD

⇒AB=AC ∣ Since corresponding parts of congruent triangles are equal

Hence, △ ABC is isosceles

Step-by-step explanation:

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