Question

in the following problems choose the criterion sss sas asa aas rhs to established the congruence of given triangle based upon the information given in each problem if there is not enough information to prove the triangle congruent choose not possible brainly



answer1- not congruence
answer2-asa
answer3-rhs
answer 4not congruence
answer5-sas


but how plz send solutions

Answer 1

In the first one

∠P=∠Q  and ∠S=∠R

as ∠P=∠Q then OS=OR

∠POS=∠QOR............(vertically opposite angle)

so by ASA criterion ΔPOS≅ΔQOR

In the second one

its given that ∠ITK=∠ETK and ∠ITK=∠ETK and KT=KT....(common) so by ASA criterion ΔIKT≅ΔEKT

In the third one

its given that PQ⊥QR and PS⊥SR that means ∠PQR=∠PSR.....(both are 90°)

Its also given that QR=SR   and   PR=PR....(common)

so by RHS criterion ΔPQR≅ΔPSR

In the fourth one

Let AC and DB intersect at O

IN ΔAOB and ΔDOC:-

∠A=∠D   and   AB=DC................(given)

∠AOB=∠DOC..........(vertically opposite angle)

So by ASA criterion ΔAOB=ΔDOC

Now we add common ΔBOC to both the sides

⇒ΔAOB+ΔBOC≅ΔDOC+ΔBOC

⇒ΔACB≅ΔDBC

In the fifth one

PS=RQ    and   ∠PSQ=∠RQS...........(given)

SQ=SQ............(common)

So by SAS criterion ΔPSQ≅ΔRQS

HOPE IT HELPS YOU:)

Answer 2

Your answer bro ⏫

please mark me brainliest......