How can you tell that triangles are congruent without knowing the lengths of all sides and the measures of all angles?

the congruency theorems can all be used

Step-by-step explanation:

Of the 5 triangle congruence theorems, the only one that cannot be used is SSS, which requires you know all three sides.

If you don't know all three sides, you must know at least one angle, at least one side, and at least one additional angle or side (see below).

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If the sides you know (in relation to the angle you know) are SSA, then the first side (opposite the angle) must be known to be the longest, or congruence is not assured. This is why SSA is not usually listed among the congruence theorems. (However, HL is a version of this, as the right angle will be opposite the longest side.)

2nd one in the first row is correct

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step-by-step explanation: