Tuesday, 17 December 2019

Congruence of Triangle (Practice Set 13.2)

Congruence of Triangle (Practice Set 13.2)

1) In each pair of triangles given below, parts shown by identical marks are congruent. State the test and the one to one correspondence of vertices by which triangle in each pair are congruent and remaining congruent parts.

(1)




 In Δ MST and Δ TBM
m∠MST ≅ m∠TBM = 90°
Hypotenuse MT ≅ Hypotenuse TM (Common Side)
seg MS ≅ seg BT (given)
 Δ MST ≅ Δ TBM
MST ↔️ TBM
seg ST ≅ seg BM  ( Corresponding sides of congruent triangles)

m∠ SMT ≅ m∠ BTM  Corresponding angles of congruent triangles}

m∠ STM ≅ m∠ BMT  



(2)



In Δ PRQ and Δ TRS.
seg PR ≅ seg TR .... (given)
∠ PRQ ≅ ∠ TRS..... ( vertically opposite angle)
seg RQ ≅ seg RS ..... (given)
 Δ PRQ ≅ Δ TRS .... ( SAS Test)
 PRQ ↔️ TRS   
seg PQ ≅ seg ST .... ( Corresponding sides of congruent triangles)
m∠ QPR ≅  m∠ STR ....  { Corresponding angles of congruent triangles}
m∠ PQR ≅  m∠ TSR



(3)

In Δ DCH and Δ DCF.

m∠ DHC ≅ m∠ DFC ...... { given }m∠ HCD ≅ m∠ FCD
  seg DC ≅ seg DC  ... ( Common side)
∴  Δ DCH ≅  Δ DCF. .... (AAS Side)
   DCH ↔️ DCF
seg HC ≅ seg FC { Corresponding sides of congruent triangle }

seg DH ≅ seg DF
m∠ HDC ≅ m∠ FDC  { Corresponding angle of congruent triangle } 

1 comment:

  1. (What is shown in the figure will be written first. Then, what is missing will be written under corresponding)

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