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 shape has four equal sides, it cannot be a parallelogram.

   Hint (a):

   False. Think of a counterexample.

2. If $\tan\left(θ\right)$ is more than $1$, then $θ$ must be more than $45^\circ$.

   Answer (b):

   True

3. If two angles formed when two lines are cut by a transversal are corresponding, then the angles are congruent.

   Hint (c):

   False. Think of a counterexample.