Congruence & similarity

The diagram shows △DEF and △KLM with matching marks. Which condition (SSS, SAS, AAS or RHS) proves that △DEF ≡ △KLM? List the matching pairs.

△ABC ≡ △PQR, with $AC=10$ cm and $\hat{B}=98^\circ$. Write down, with a reason, the length of PR.

△DEF ≡ △ABC, with $EF=7{,}5$ cm and $\hat{F}=85^\circ$. Write down, with a reason, the length of BC.

The diagram shows △PQR and △ABC with matching marks. Which condition (SSS, SAS, AAS or RHS) proves that △PQR ≡ △ABC? List the matching pairs.

△ABC ≡ △RST, with $BC=8$ cm and $\hat{C}=103^\circ$. Write down, with a reason, the size of T̂.

△PQR ||| △RST, with $PQ=12$ cm, $PR=10$ cm and $RS=30$ cm. Calculate the length of RT, marked x in the diagram.

△ABC ≡ △RST, with $BC=8{,}5$ cm and $\hat{A}=103^\circ$. Write down, with a reason, the length of ST.

△ABC ||| △DEF, with $BC=5$ cm, $AC=7$ cm and $EF=10$ cm. Calculate the length of DF, marked x in the diagram.

△PQR ≡ △RST, with $QR=6$ cm and $\hat{Q}=39^\circ$. Write down, with a reason, the length of ST.

△PQR ||| △RST, with $PQ=6$ cm, $PR=12$ cm and $RS=18$ cm. Calculate the length of RT, marked x in the diagram.

△DEF ||| △KLM, with $EF=4$ cm, $DF=9$ cm and $LM=6$ cm. Calculate the length of KM, marked x in the diagram.

△PQR ||| △XYZ, with $PQ=9$ cm, $QR=4$ cm and $XY=18$ cm. Calculate the length of YZ, marked x in the diagram.