I don't understand this please help i think its A but i don't know

Premises:
If two triangles are congruent, their corresponding angles are congruent.
△ABC△ABC and △QRS△QRS are not congruent.

Conclusion:
The corresponding angles of △ABC△ABC and △QRS△QRS are not congruent.

Which statement best describes this argument?

A. The argument is invalid because the premises are not true.

B. The argument is invalid because the conclusion does not follow the premises.

C. The argument is valid by the law of syllogism.

D. The argument is valid by the law of detachment.

Question

adorapanda adorapanda

17-01-2017
Mathematics

contestada

I don't understand this please help i think its A but i don't know

Premises:
If two triangles are congruent, their corresponding angles are congruent.
△ABC△ABC and △QRS△QRS are not congruent.

Conclusion:
The corresponding angles of △ABC△ABC and △QRS△QRS are not congruent.

Which statement best describes this argument?

A. The argument is invalid because the premises are not true.

B. The argument is invalid because the conclusion does not follow the premises.

C. The argument is valid by the law of syllogism.

D. The argument is valid by the law of detachment.

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rihanna101Loverszz rihanna101Loverszz · Answer 1 · 2017-01-17T20:45:34+01:00

rihanna101Loverszz rihanna101Loverszz

17-01-2017

B. The argument is invalid because the conclusion does not follow the premises. Hope this helps! :)

Answer Link

agaue agaue · Answer 2 · 2018-12-01T14:00:30+01:00

Answer:

B. The argument is invalid because the conclusion does not follow the premises.

Step-by-step explanation:

It is given △ABC and △QRS are congruent.In congruent triangles corresponding sides and angles are equal.

Thus the conclusion The corresponding angles of △ABC and △QRS are not congruent is not a valid statement.

If the triangles are congruent then the conclusion reached is not following the given statement .Hence The argument is invalid because the conclusion does not follow the premises.

Option B is the right answer.