Does the memory of my video card have to match the memory of my motherboard?

For example, could a video card with DDR2 RAM be compatible with a motherboard that has DDR RAM|||nope, just realize your CPU can bottleneck performance of the video card

in other words, fast internet card can get slowed down by an old CPU|||The memory on your video card does not have to match the memory on your mother board. You could use a video card with GDDR5,GDDR4,GDDR3,GDDR2 and it will work fine with either DDR2 or DDR3 memory.|||No. The video RAM and system RAM are independent of each other.