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Does a quadrilateral have exactly 3 congruent angles?
A quadrilateral is ANY closed figure with 4 sides. Therefore, it also has 4 angles - any of which may, or may not, be congruent. About the only general statement about angles that applies to all quadrilaterals is that the sum of the angles is 360 degrees. By the way, it is possible for a quadrilateral to have 3 congruent angles, and the fourth angle not be congruent with the other 3.
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.
Maximum obtuse angles in quadrilateral?
There can be at most 3 obtuse angles in a quadrilateral.
Is the isosceles triangle the only triangle with congruent sides and angles?
In an isosceles triangle 2 sides are congruent and 2 angles are congruent. In an equilateral triangle all 3 sides are congruent and all 3 angles are congruent also.
Which quadrilaterals are opposite angles always congruent?
(1) Parallelogram A parallelogram is a quadrilateral with two sets of parallel sides. The opposite or facing sides of a parallelogram are of equal length, and the opposite angles of a parallelogram are equal.(2) SquareA square is a regular quadrilateral. This means that is has four equal sides and four equal angles.(3) RhombusA rhombus is a quadrilateral whose four sides all have the same length. Opposite angles of a rhombus have equal measure. The two diagonals of a rhombus are perpendicular.(4) RectangleA rectangle normally refers to a quadrilateral with four right angles.ParallelogramSquareRhombus
