Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
Four pairs of triangles are described below. In how many of the pairs must the two triangles be congruent?
ASA: two angles and the side between them. AAS: two angles and a side elsewhere; use the angle sum to turn it into ASA. SSS: three sides. RHS: a right angle, the hypotenuse and one side. AAA and SSA are not rules.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. (a) Two sides and an angle that is not between them: SSA. This is not a rule, so the triangles need not be congruent.
Step 2. (b) Two angles and the side between them: ASA. Congruent.
Step 3. (c) Three equal angles: AAA. The sizes may differ, so they need not be congruent.
Step 4. (d) Three equal sides: SSS. Congruent.
Answer: pairs, (b) and (d).
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