Assertion: If any two sides of a triangle are proportional to corresponding two sides of another triangle and the included angles are equal then the triangles are similar by SAS similarity criterion. R: Reason: If the equal angles are not included between the proportional sides, then SAS criterion will be void. (i) Both A and R are true and R is the correct reason of A. (ii) Both A and R are true and R is not the correct reason of A. (iii) A is true but R is false. (iv) A is false but R is true.
Answers
Answer:
If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
Therefore, D is the correct answer.
Answer:
The answer to this question is an option (ii).
Step-by-step explanation:
In the given assertion we have the SAS similarity rule which is stating that if we have any two sides of the given triangle to be proportional to the corresponding two sides of the other given triangle and the angles included between them are totally equal then the triangles are said to be similar by SAS similarity criterion. The reason given is also correct that if that angle is not the one between the proportional sides that we have taken then the SAS similarity criterion will not hold. But this is not the reason for the above-given assertion. Hence we have reason assertion both correct but the reason is not the correct explanation of the assertion.