8.01 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

5 min

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

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

Easy

4 min

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

Medium

2 min

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

Medium

2 min

Formulate proofs involving congruent triangles and angle properties

Apply logical reasoning, including the use of congruence and similarity, to proofs and numerical exercises involving plane shapes