2. In the figure, AABC and ABAD have a common base AB. Given AC = BD and BC = AD, then from the following statements which are true and which are false. (ii) ΔΒΡΑ: ΔCPB
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Answer:
False
ΔABC and ΔABD are on a common base AB, and AC=BD and BC=AD
So, from the figure by looking at corresponding points and SSS test we can say that
ΔABC≅ΔBAD
But, the statement given is ΔABC≅ΔADB, which is wrong regarding corresponding points. Because C is the corresponding point of D, and we cannot get this from the given statement.
So, given statement is false.
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