1. What do the following words have in common?

PAGE
PANT
PART

2. What do the following words have in common?

DANCE
VICIOUS
BERMUDA
GOLDEN
SUGAR
ICE CREAM

HINT:
1)
#1: SHACKLE could be added to the list.
#2: The same three letters will change each word into a new one.

Answers:

1.  Each word can be preceded by RAM to make a new word:

RAMPAGE / RAMPANT / RAMPART / (RAMSHACKLE)

2. Each word can be preceded or followed by a geometrical shape:

SQUARE dance
vicious CIRCLE
Bermuda TRIANGLE
Golden RECTANGLE
sugar CUBE
ice cream CONE