The diagram shows △RST and △KLM with matching marks. S^=L^=90∘\hat{S}=\hat{L}=90^\circS^=L^=90∘. Which condition (SSS, SAS, AAS or RHS) proves that △RST ≡ △KLM? List the matching pairs.
△RST ||| △XYZ, with RS=10RS=10RS=10 cm, RT=5RT=5RT=5 cm and XY=25XY=25XY=25 cm. Calculate the length of XZ, marked x in the diagram.
The diagram shows △ABC and △DEF with matching marks. B^=E^=90∘\hat{B}=\hat{E}=90^\circB^=E^=90∘. Which condition (SSS, SAS, AAS or RHS) proves that △ABC ≡ △DEF? List the matching pairs.
△RST ≡ △XYZ, with RS=9RS=9RS=9 cm and R^=29∘\hat{R}=29^\circR^=29∘ (see the diagram). Write down, with a reason, the length of XY, marked x.
△RST ||| △DEF, with RS=4RS=4RS=4 cm, RT=7RT=7RT=7 cm and DE=6DE=6DE=6 cm. Calculate the length of DF, marked x in the diagram.
△KLM ||| △ABC, with KL=12KL=12KL=12 cm, LM=4LM=4LM=4 cm and AB=36AB=36AB=36 cm. Calculate the length of BC, marked x in the diagram.
△DEF ||| △XYZ, with DE=10DE=10DE=10 cm, DF=8DF=8DF=8 cm and XY=25XY=25XY=25 cm. Calculate the length of XZ, marked x in the diagram.
The diagram shows △ABC and △KLM with matching marks. Which condition (SSS, SAS, AAS or RHS) proves that △ABC ≡ △KLM? List the matching pairs.
△PQR ≡ △KLM, with PR=4PR=4PR=4 cm and R^=36∘\hat{R}=36^\circR^=36∘ (see the diagram). Write down, with a reason, the size of M̂, marked x.
The diagram shows △XYZ and △ABC with matching marks. Which condition (SSS, SAS, AAS or RHS) proves that △XYZ ≡ △ABC? List the matching pairs.
△KLM ≡ △PQR, with KM=4KM=4KM=4 cm and L^=32∘\hat{L}=32^\circL^=32∘ (see the diagram). Write down, with a reason, the length of PR, marked x.
△RST ≡ △XYZ, with RS=10RS=10RS=10 cm and S^=76∘\hat{S}=76^\circS^=76∘ (see the diagram). Write down, with a reason, the length of XY, marked x.
