Can confirm - the motherboard will downclock the memory to a speed it can handle.
However, memory will only run as fast as its slowest module. For example, if you paired a DDR3-1600 module with a DDR3-2133 module (I do not recommend it), the board would downclock the 2133 to match the 1600 speed.
The thing you should be careful about is the timings, as well as the voltages. If the timings or voltage on the two kits are different there will be problems.
Even with this, nothing is guaranteed. If you bought two or more modules that are different from each other there's a chance your PC won't start, even if the timings and voltage are the same. DDR3 is finicky.
When upgrading memory, you should always buy the exact same model as what's already installed, to minimize the chance of problems happening.