Hello,
Testing a triac isnt too hard at all really. You need a battery or two or power supply and a couple resistors and a DC voltmeter.
What you do first is look up the data sheet on the part number to determine what quadrants the triac can turn on in. You should test each quadrant. You should also look up the minimum gate current in each quadrant and the min holding current.
The setup is as follows with say a 12v battery...with the negative lead grounded...
Ground MT1, connect MT2 to the positive of the 12v battery through a 10 ohm resistor (assuming the triac is rated for 1 amp or more).
Measure the voltage at MT2, and it should be 12v, then connect another resistor of about 470 ohms from the positive of the 12v battery to the gate, the triac should turn on, which means you'll see the voltage at MT2 go down quite a bit to 2v or less. Then disconnect the 470 ohm resistor and the voltage at MT2 should stay low.
Now disconnect the 10 ohm resistor from the 12v battery, then connect it back again after a second.
Next you would reverse the 12v battery connection and do the test again.
With a second small battery or another 12v battery, you can do the test two more times with the smaller battery used to drive the gate through the 470 ohm resistor (assuming another 12v battery). The first test is with the first 12v battery with it's original connections and using the smaller battery to energize the gate with a negative drive signal, then reverse the first 12v battery and try to drive the gate with the smaller battery and resistor with a positive gate signal.
If all 4 tests work as the first one does, then the triac can trigger in all four quadrants. If only one fails, it may be the quadrant that the triac is not designed to fire in or the triac may be bad, but the date sheet will tell you this.
We can go through this one step at a time if you like. The idea is to test the triac with both polarities for MT1 and MT2 and for both polarities of the gate and MT1. This creates four distinct tests with MT1 common: one test with MT2 positive and gate positive, one test with MT2 positive and gate negative, one test with MT2 negative and gate positive, and finally one test with MT2 negative and gate negative.