The figure below shows line t, which intersects segment AB:
1 answer:
Answer:
Step-by-step explanation:
Given:
Line 't' is a perpendicular bisector of AB.
AD ≅ BD
∠4 ≅ ∠6
To prove:
AC = BC
Construction done:
Completed triangle ABC by joining AC and BC.
Since, AD ≅ BD [Given]
∠4 ≅ ∠6 [Given]
∠ADC ≅ ∠BDC [Supplementary angles of ∠4 and ∠6]
CD ≅ CD [Reflexive property]
ΔACD ≅ ΔBCD [SAS property of congruence]
AC ≅ BC [CPCTC]
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