### Home > GC > Chapter 5 > Lesson 5.1.1 > Problem 5-8

5-8.

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

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

False. A rhombus and a square are counterexamples because both have

equal sides and opposite sides are parallel like in all parallelograms. If tan

is more than, then must be more than. Look at the Math Notes box for Lesson 4.1.4 for extra help.

What happens when

is more than ? If two angles formed when two lines are cut by a transversal are corresponding, then the angles are congruent.

What if the lines are not parallel? Draw a diagram.