In the figure given below, $Δ A B C ≅ Δ M B C .$ The corresponding side to $B A$ is ......

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Answer 1

Given $△ A B C ≅ △ M B C$ .

Then the corresponding parts will also be equal.

That is by CPCT rule, corresponding parts of congruent triangles are equal.

Then, $A B = M B$ , $B C = B C$ , $A C = M C$ , $∠ A = ∠ M$ , $∠ B = ∠ B$ and $∠ C = ∠ C$ .

Thus, $A B = M B$ $⟹$ $B A = B M$ .

Hence, option $A$ is correct.

Answer 2

Given $△ A B C ≅ △ M B C$ .

Then the corresponding parts will also be equal.

That is by CPCT rule, corresponding parts of congruent triangles are equal.

Then, $A B = M B$ , $B C = B C$ , $A C = M C$ , $∠ A = ∠ M$ , $∠ B = ∠ B$ and $∠ C = ∠ C$ .

Thus, $A B = M B$ $⟹$ $B A = B M$ .

Hence, option $A$ is correct.

In the figure given below, $Δ A B C ≅ Δ M B C .$ The corresponding side to $B A$ is ......

$B M$

$A B$

$A C$

$M C$

Solution

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Given △ABC≅△MBC. Then the corresponding parts will also be equal. That is by CPCT rule, corresponding parts of congruent triangles are equal. Then, AB=MB, BC=BC, AC=MC, ∠A=∠M, ∠B=∠B and ∠C=∠C. Thus, AB=MB ⟹ BA=BM. Hence, option A is correct.

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