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Assertion (A) : If two triangles are con...

Assertion (A) : If two triangles are congruent their corresponding angles are equal.
Reason (R ) : Area of two congruent triangles are equal.

A

Both A and R are correct and Statement R is true explanation of Statement A

B

Both A and R are correct but Statement R is not a true explanation of Statement A

C

Statement A is correct, Statement R is wrong

D

Statement A is wrong, Statement R is correct

Text Solution

AI Generated Solution

The correct Answer is:
To solve the given question, we need to analyze the Assertion (A) and Reason (R) provided. ### Step-by-Step Solution: 1. **Understanding Assertion (A)**: - The assertion states that if two triangles are congruent, their corresponding angles are equal. - This is a fundamental property of congruent triangles. By definition, congruent triangles are identical in shape and size, which means all corresponding angles and sides are equal. 2. **Understanding Reason (R)**: - The reason states that the area of two congruent triangles is equal. - While it is true that congruent triangles have equal areas, the area alone is not a criterion for congruence. Two triangles can have the same area but different shapes, which means they are not necessarily congruent. 3. **Evaluating the Statements**: - Since Assertion (A) is true (congruent triangles have equal corresponding angles), we can agree with this part. - However, Reason (R) is misleading because it implies that area can be used to determine congruence, which is incorrect. Therefore, while the area of congruent triangles is equal, it does not serve as a basis for establishing congruence. 4. **Conclusion**: - Assertion (A) is true, but Reason (R) is false. Thus, the correct relationship between the two statements is that the assertion is correct, while the reason is incorrect. ### Final Answer: - Assertion (A) is true. - Reason (R) is false.
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LUCENT PUBLICATION-CONGRUENCE AND SIMILAR TRIANGLES -EXERCISE-5A
  1. Assertion (A) : If two triangles are congruent their corresponding ang...

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  2. Consider the following statements : A unique triangle can be formed ...

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  3. The length of hypotenuse of a right angled triangle is 3sqrt(10). If a...

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  4. ABC is a triangle right-angled at C. If p is the length of the perpend...

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  5. If ABC is a right angled triangle at B and M, N are the mid-points of ...

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  6. Area of a right angled triangle is A. If its one of the perpendicular ...

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  7. In triangle ABC, A=90^(@) and AB = 3 unit, AC = 4 unit and side AD is ...

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  8. Let WXYZ be a square. Let P, Q, R, be the midpoints of WX, XY and ZW r...

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  9. If two corresponding sides of two similar triangles are in the ratio 9...

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  10. In a trianlge, if sum of two angles is equal to the third angle (consi...

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  11. In the adjacent figure, L is a point on the internal bisector of acute...

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  12. In the figure given above, ABCD is a parallelogram. P is a point on BC...

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  13. ABC is an isosceles triangle such that AB=BC=8cm and angle ABC=90^@ Wh...

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  14. Let D, E be the points on sides AB and AC respectively of a triangle A...

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  15. In DeltaABC line PQ is drawn parallel to side BC where P and Q are res...

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  16. ABC is a triangle right-angled at B and D is a point on BC produced (B...

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  17. PQR is a triangle right-angled at Q. If X and Y are the mid-points of ...

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  18. In the figure given below, what is the value of x. It is given that ...

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  19. If sides of a triangle are 20 cm, 16 cm and 13 cm, then which one of t...

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  20. DeltaABC and DeltaDEF are similar such that (AB)/(DE)=(BC)/(EF). Area ...

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