Japace7. In a competitive exam 5 marks are given for every correct answer aevery incorrect answer and no marks for not attempting any question.a. Sara scored 24 marks. How many questions has she attempted inanswers?b. Though Neha got 9 correct answers she scored (-7) marks in thquestions attempted by her incorrectly.
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Answer:
Given,
AD = BC
BD = CA
To Prove- ∠ADB = ∠BCA and ∠DAB = ∠CBA.
Proof- Let us take ∆ADB and ∆BCA into consideration .
AD = BC (Given)
BD = AC (Given)
AB = AB (Common side)
∴∆ADB ≅ ∆BCA by SSS
SSS(side-side-side) congruence states that if two triangles have all the three sides equal they are congruent.
Now , Applying CPCT( Corresponding parts of congruent triangles) which states that, If two triangles are congruent then their corresponding sides are equal , also corresponding angles too.
∠ADB = ∠BCA
Similarly , ∠DAB = ∠CBA
Hence proved.
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