Question

Q. 5. In triangle ABC, LA = 30°, LB = 40° and LC = 110° In triangle PQR, LP = 30°, LQ = 40° and LR = 110°. A student says that triangle ABC = triangle PQR by AAA congruence criterion. Is the justified ? Why or why not? ​

Answer 1

Answer:

No he is not justified.

Step-by-step explanation:

⇒ For triangles to  be congruent , their all three sides must also be equal to the corresponding sides of other triangle.

⇒ If only angles are equal to the corresponding angles of other triangle, then triangles are similar not congruent.

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Answer 2

Step-by-step explanation:

In ∆ABC, ∠A = 30° , ∠B = 40° and ∠C = 110° In ∆PQR, ∠P = 30° , ∠Q = 40° and ∠R = 110° A student says that ∆ABC ≅ ∆PQR by AAA congruence criterion. It is not justified because AAA is not a congruence criterion. Triangles with similar measures of angles can be similar triangles but not congruent