Question

In fig . 7.24 measure of some parts of the triangle are indicated. By appling SAS congruence rule ,state the pairs of cogruent triangles if any in each case . In case of congruent triangles write them in symbolic form

Answer 1

Step-by-step explanation:

i) in Δ ABC and Δ DEF

AB = DE  

AC = DF

∠ A ≠ ∠ D

Thus, they are not congruent.

 ii) In Δ ACB and Δ RPQ

AC = RP = 2.5 cm

CB = PQ = 3 cm  

∠ C = ∠ P = 35°

Thus, they are ≅ through SAS congruency rule

Δ ACB ≅ Δ RPQ.

iii) In Δ DFE and Δ PQR

DF = PQ = 3.5 cm

FE = QR = 3 cm

∠ F = ∠ Q

Thus, they are ≅ by SAS congruency rule

Δ  DFE  ≅ Δ PQR

iv) In Δ QPR and Δ SRP

QP = SR = 3.5 cm

PR = RP (Common side)

∠ QPR = ∠ SRP

Thus, they are ≅ by SAS congruency rule,

Δ QPR  ≅ Δ SRP.

Learn more: congruency of triangle

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Answer 2

Answer:

i) in  and 

AB = DE 

AC = DF

Hence, they are not congruent.

 

ii) In  and 

AC = RP = 2.5 cm

CB = PQ = 3 cm 

Hence by SAS congruency rule, they are congruent.

.

 

iii) In  and 

DF= PQ = 3.5 cm

FE= QR = 3 cm

Hence, by SAS congruency rule, they are congruent.

 

iv) In  and 

QP = SR = 3.5 cm

PR = RP (Common side)

Hence, by SAS congruency rule, they are congruent.