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timothymoles
04.04.2020 •
Mathematics
Consider triangle ABC and triangle ACD in the diagram below. Which of the following complete the proof above?
Options
- AB =AD
- AC=AC
- AC=BD
- BC=DC
Solved
Show answers
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Ответ:
Given:
AC is perpendicular bisector of BD
AB ≅ AD
To prove:
ΔABC ≅ ΔACD
Solution:
In triangle ABC and triangle ACD,
Step 1: Given
AC is perpendicular bisector of BD and
AB ≅ AD (Side)
Step 2: By perpendicular bisector definition,
BC ≅ CD (Side)
Step 3: By reflexive property,
AC ≅ AC (Side)
Step 4: By SSS congruence criterion,
ΔABC ≅ ΔACD
Hence proved.
Ответ:
An3848
Step-by-step explanation: