Look at the pairs of triangles given below. Are they congruent ? If co

1.	Look at the pairs of triangles given below. Are they congruent ? If congruent write the corresponding parts.
Answer» (i) AB=ST AC = SR (given) ∠A = ∠S ∴ ΔABC ≅ ΔSTR (S.A.S) Also ∠A = ∠S, ∠B = ∠T, ∠C = ∠R (ii) From the figure, FO = RO OQ = OS ∠POQ = ∠ROS ∴ ΔPOQ ≅ ΔROS (SAS) Also ∠P = ∠R, ∠Q = ∠S, and PQ = RS (iii) From the figure, IAP Board So IJ WD = OR ∠W= ∠R WO = RD ∴ ΔDWO ≅ ΔORD Also ∠EO = ∠OE; ∠WDO = ∠ROD; ∠WOD = ∠RDO (iv) Here the two triangles ΔABC and ΔCDA are not congruent.

Look at the pairs of triangles given below. Are they congruent ? If congruent write the corresponding parts.

Answer»

(i) AB=ST

AC = SR (given)

∠A = ∠S

∴ ΔABC ≅ ΔSTR (S.A.S)

Also ∠A = ∠S, ∠B = ∠T, ∠C = ∠R

(ii) From the figure,

FO = RO

OQ = OS

∠POQ = ∠ROS

∴ ΔPOQ ≅ ΔROS (SAS)

Also ∠P = ∠R, ∠Q = ∠S, and PQ = RS

(iii) From the figure, IAP Board So IJ

WD = OR

∠W= ∠R

WO = RD

∴ ΔDWO ≅ ΔORD

Also ∠EO = ∠OE; ∠WDO = ∠ROD;

∠WOD = ∠RDO

(iv) Here the two triangles ΔABC and ΔCDA are not congruent.