Given ABC - XZY- Which of the following is true-A- - A- ZB- - B- YC- A B-B C-X Y-Y ZD- None of these

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Byju's Answer

Standard VIII

Mathematics

Converse of BPT

Given ABC ∼ X...

Question

Given $△ A B C$ ~ $△ X Z Y$ . Which of the following is true?

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None of these

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Solution

The correct option is D
None of these

For the given similar triangles,
the corresponding angles are equal i.e. $∠ A$ = $∠ X, ∠ B$ = $∠ Z$ and ratio of corresponding sides is equal i.e. $\frac{A B}{B C}$ = $\frac{X Z}{Z Y}$ .
In the options the corresponding angles are not equal hence none of the options is correct.

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The correct option is D None of these For the given similar triangles, the corresponding angles are equal i.e. ∠A= ∠X,∠B=∠Z and ratio of corresponding sides is equal i.e. ABBC= XZZY. In the options the corresponding angles are not equal hence none of the options is correct.

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