Lori has written the conjectures below. For each one, decide if it is true or not. If you believe it is not true, provide a counterexample (an example that proves that the statement is false).

1. If a triangle has a $60^\circ$ angle, it must be an equilateral triangle.

   Answer (a):

   False. Provide a counterexample.

2. To calculate the area of a shape, you always multiply the length of the base by the height.

   Hint (b):

   How do you calculate the area of a triangle?

3. All shapes have $360^\circ$ rotation symmetry.

   Answer (c):

   True