Question
Download Solution PDFΔABC and ΔABD are on a common base AB and AC = BD and BC = AD as shown in the given figure.
Which of the following options is true?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
ΔABC and ΔABD are on a common base AB and AC = BD and BC = AD.
Concept Used:
Side-Side-Side rule of congruence states that two triangles are congruent if all three are equal to the corresponding sides of the other triangle.
Calculation:
In ΔABC and ΔBAD
AB = BA (Common Base)
BC = AD (Given)
AC = BD
Hence, ΔABC ≅ ΔBAD
∴ The correct option is (3).
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