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

The correct option is D ∠ F Given #10; ABC ≅ DEF . #10; #10;Then #10;the corresponding parts will also be equal. #10; #10;That #10;is by ...

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Standard IX

Mathematics

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 $∠ C$ is ........

∠ B

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∠ C

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∠ F

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∠ A

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Solution

The correct option is D $∠ F$
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, $∠ C = ∠ F$ .
Hence, option $C$ is correct

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

The correct option is D ∠FGiven △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, ∠C=∠F. 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 $∠ C$ is ........