It is given that - ABC- DEF- In the given figure the corresponding angle to - B is-

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Congruent Triangles

It is given t...

Question

It is given that $Δ A B C ≅ Δ D E F$ . In the given figure the corresponding angle to $∠ B$ is___.

∠ A

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∠ C

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∠ E

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∠ F

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Solution

The correct option is B $∠ E$
Given $△ A B C ≅ △ D E F$ .
Then the corresponding parts will also be equal.
That is by CPCT rule, corresponding parts of congruent triangles are equal.
Then, $A B = D E$ , $B C = E F$ , $A C = D F$ , $∠ A = ∠ D$ , $∠ B = ∠ E$ and $∠ C = ∠ F$ .
Thus, $∠ B = ∠ E$ .
Hence, option $C$ is correct.

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It is given that ΔABC≅ΔDEF. In the given figure the corresponding angle to ∠B is___.

The correct option is B ∠EGiven △ABC≅△DEF.Then the corresponding parts will also be equal.That is by CPCT rule, corresponding parts of congruent triangles are equal.Then, AB=DE, BC=EF, AC=DF, ∠A=∠D, ∠B=∠E and ∠C=∠F.Thus, ∠B=∠E.Hence, option C is correct.

It is given that $Δ A B C ≅ Δ D E F$ . In the given figure the corresponding angle to $∠ B$ is___.