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Home > GC > Chapter 5 > Lesson 5.1.1 > Problem 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).  

  1. 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.

  2. 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 ?

  3. 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.