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What is a counter example for the statement congruent angles are always vertical angles?
Vertical angles must necessarily be congruent, however congruent angles do not necessarily have to be vertical angles. An example of congruent angles which are not vertical angles are the 3 interior angles of an equilateral triangle. These angles do not share the same vertex yet they are congruent.
True or false Two angles that have the same measure must be congruent?
Yes, this is the definition of congruent angles.Yes, this is the definition of congruent angles.Yes, this is the definition of congruent angles.Yes, this is the definition of congruent angles.
Are two rhombuses always-sometimes or never similar?
Sometimes. Remember, in order for two polygons to be similar, their angles must be congruent, and their corresponding sides must be proportional. In a rhombus, it is always possible for the angles to differ.
If two angles of a triangle are congruent then the sides opposite those angles may not be congruent?
False. They must be congruent.
What is the name of a parallelogram with 4 right angles but not four congruent angles?
4 right angles, by definition, are four angles of the same measure, and therefore must be congruent angles.
