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AustraliaNSW
Stage 5.1-3

5.01 Proving triangles congruent and similar

Interactive practice questions

Prove that $\triangle KLN$KLN and $\triangle MNL$MNL are congruent.

Show all working and reasoning.

Easy
5min

In the diagram below, $PR=SR$PR=SR.

Prove that $\triangle PQR$PQR and $\triangle STR$STR are congruent.

Easy
4min

Prove that $\triangle ABD$ABD and $\triangle CBD$CBD are congruent.

Medium
2min

Prove that $\triangle DEC$DEC and $\triangle FEG$FEG are congruent.

Medium
2min
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Outcomes

MA5.2-13MG

applies trigonometry to solve problems, including problems involving bearings

MA5.2-14MG

calculates the angle sum of any polygon and uses minimum conditions to prove triangles are congruent or similar

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