Which of the following pairs of triangles are congruent ? In each case

1.	Which of the following pairs of triangles are congruent ? In each case, state the condition of congruency: (a) In ΔABC and ΔDEF, AB=DE,BC=EF and ∠B=∠E . (b) In ΔABC and ΔDEF, ∠B=∠E= 900, AC=DF and BC=EF. (c) In ΔABC and ΔQRP , AB=QR, ∠B=∠R and ∠C=∠P . (d) In ΔABC and ΔPQR , AB=PQ,AC=PR and BC=QR. (e) In ΔABC and ΔPQR , BC=QR, ∠A= 90∘, ∠C= ∠R= 40∘ and ∠Q=50∘.
Answer» Which of the following pairs of triangles are congruent ? In each case, state the condition of congruency: (a) In $Δ A B C$ and $Δ D E F$ , $A B = D E, B C = E F$ and $∠ B =$ $∠ E$ . (b) In $Δ A B C$ and $Δ D E F$ , $∠ B =$ $∠ E =$ $90^{0}$ , $A C = D F$ and $B C = E F$ . (c) In $Δ A B C$ and $Δ Q R P$ , $A B = Q R$ , $∠ B =$ $∠ R$ and $∠ C =$ $∠ P$ . (d) In $Δ A B C$ and $Δ P Q R$ , $A B = P Q, A C = P R$ and $B C = Q R$ . (e) In $Δ A B C$ and $Δ P Q R$ , $B C = Q R$ , $∠ A =$ $90^{\circ}$ , $∠ C =$ $∠ R =$ $40^{\circ}$ and $∠ Q =$ $50^{\circ}$ .

Which of the following pairs of triangles are congruent ? In each case, state the condition of congruency: (a) In ΔABC and ΔDEF, AB=DE,BC=EF and ∠B=∠E . (b) In ΔABC and ΔDEF, ∠B=∠E= 900, AC=DF and BC=EF. (c) In ΔABC and ΔQRP , AB=QR, ∠B=∠R and ∠C=∠P . (d) In ΔABC and ΔPQR , AB=PQ,AC=PR and BC=QR. (e) In ΔABC and ΔPQR , BC=QR, ∠A= 90∘, ∠C= ∠R= 40∘ and ∠Q=50∘.

Answer»

Which of the following pairs of triangles are congruent ? In each case, state the condition of congruency:

(a) In $Δ A B C$ and $Δ D E F$ , $A B = D E, B C = E F$ and $∠ B =$ $∠ E$ .

(b) In $Δ A B C$ and $Δ D E F$ , $∠ B =$ $∠ E =$ $90^{0}$ , $A C = D F$ and $B C = E F$ .

(d) In $Δ A B C$ and $Δ P Q R$ , $A B = P Q, A C = P R$ and $B C = Q R$ .

(e) In $Δ A B C$ and $Δ P Q R$ , $B C = Q R$ , $∠ A =$ $90^{\circ}$ , $∠ C =$ $∠ R =$ $40^{\circ}$ and $∠ Q =$ $50^{\circ}$ .