Question

By applying ASA congruence rule, state which pairs of triangles are congruent. In case of congruence, write the result in symbolic form. ​

Answer 1

Answer:

iii) ∆QPR~∆LMN

iv) ∆ABD~∆ABC

Step-by-step explanation:

iii) Here for ∆QPR and ∆LMN,

angle(PQR)=angle(LNM)=30° and

angle(PRQ)=angle(MLN)=60°

Also, RQ=LN=6cm

So, by (Angle-Side-Angle) ASA congruence rule, ∆QPR~∆LMN.

iv) For ∆ABD and ∆ABC,

angle(CAB) = angle(DBA)

angle(DAB)=45+30=75°

angle(CBA)=45+30=75°

So, angle(DAB)=angle(CBA)

Also, side AB is common for both ∆les.

Hence by ASA congruence,

∆ABD~∆ABC

Answer 2

Step-by-step explanation:

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