Mathematics
In triangles ABC and DEF, ∠A = ∠D, ∠B = ∠E and AB = EF. Will the two triangles be congruent? Give reasons for your answer.
Related Questions
Assertion (A): If ΔABC ≅ ΔPQR and AB = 4 units, then AB2 + PQ2 = 32.
Reason (R): When two triangles are congruent to each other, then their corresponding responding sides are equal in length.
Assertion (A) is true, Reason (R) is false.
Assertion (A) is false, Reason (R) is true.
Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct reason (or explanation) for Assertion (A).
Assertion (A): Δ ABC ≅ Δ PQR
If 2AB = 3BC = 4CA = 12 cm, then the sum of perimeter of both triangle is 26 cm.
Reason (R): If two triangles are congruent to each other, then their corresponding sides are equal in length.
Assertion (A) is true, Reason (R) is false.
Assertion (A) is false, Reason (R) is true.
Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct reason (or explanation) for Assertion (A).
In the adjoining figure, ABCD is a square. P, Q and R are points on the sides AB, BC and CD respectively such that AP = BQ = CR and ∠PQR = 90°. Prove that
(a) △PBQ ≅ △QCR
(b) PQ = QR
(c) ∠PRQ = 45°
In the adjoining figure, OA ⊥ OD, OC ⊥ OB, OD = OA and OB = OC. Prove that AB = CD.
