Question

State the correspondence between the vertices, sides and angles of the following pairs of congruent triangles.
(i) triangle ABC= triangle EFD
(ii) CAB=QRP
(iv) XZY=QPR ​

Answer 1

Given : (i) triangle ABC≡ triangle EFD

(ii) CAB≡QRP

(iv) XZY≡QPR ​

To Find : the correspondence between the vertices, sides and angles of the following pairs of congruent triangles.

Solution:

(i) triangle ABC≡ triangle EFD

∠A ≡  ∠E

∠B   ≡∠F

∠C  ≡   ∠D

AB  ≡   EF

BC  ≡   FD

AC  ≡   ED

(ii) CAB≡QRP

∠C ≡  ∠Q

∠A   ≡  ∠R

∠B  ≡   ∠P

CA  ≡   QR

AB  ≡   RP

CB  ≡   QP

(iv) XZY≡QPR ​

∠X ≡  ∠Q

∠Z   ≡ ∠ P

∠Y  ≡  ∠  R

XZ  ≡   QP

ZY  ≡   PR

XZ  ≡   QR

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