If the hypotenuse of one right triangle is equal to the hypotenuse of another right triangle, then the triangles are congruent.

In a squared sheet, draw ΔABC and Δ PQR. When two triangles have equal areas and  (i) these triangles are congruent, i.e., Δ ABC ≅ Δ PQR  [By SSS congruence rule]  Then, their perimeters are same because length of sides...

Correct answer is (b) ASA congruence criterion

Correct answer is (a) AAA

If three angles of two triangles are equal, triangles are congruent. False

If two legs of a right triangle are equal to two legs of another right triangle, then the right triangles are congruent. True

If two triangles are congruent, then the corresponding angles are equal. True

If hypotenuse and an acute angle of one right triangle are equal to the hypotenuse and an acute angle of another right triangle, then the triangles are congruent. True

Correct answer is  (a) ∠S = ∠D, ∠T = ∠E, ∠U = ∠F, ST = DE, TU = EF, SU = DF (b) ∠A = ∠L, ∠B = ∠M, ∠C = ∠N, AB = LM, BC = MN, AC = LN (c) ∠Y = ∠P, ∠Z = ∠Q, ∠X = ∠R,...

Correct answer is  (i) Δ PQR ≅ Δ STU (ii) Not congruent

(b) The ratio of the areas of two similar triangles is equal to the ratio of their corresponding sides.  Because the ratio of the areas of two similar triangles is equal...