If a quadrilateral is a parallelogram, then its opposite angles are congruent.Theorem :Opposite Angles of a Parallelogram If the opposite sides of a quadrilateral are congruent then it is a parallelogram.If a quadrilateral is a parallelogram, then its opposite sides are congruent.Theorem:Congruent Sides of a Parallelogram A parallelogram is a quadrilateral with both pairs of opposite sides parallel.Use properties of parallelograms to determine unknown quantities of the parallelogram.The sum of the measures of the interior angles of a quadrilateral is 360o.Review: How manydegrees does a straightline measure? Review:What do youthink the sum of the interior angles of a quadrilateral might be? Review: What is the sum of the interior angles of anytriangle?Ĥ 3 1 2 Theorem Interior Angles of a Quadrilateral Theorem Recall that the interior angles of any figure are located in the interior and are formed by the sides of the figure itself.Yes No Too many intersecting segments No Yes No gaps Yes No Too many sides No tails No No No curves Gaps that do not connect one side to another, or Įxamples Determine if the figure is a quadrilateral.
One at each of its endpoints, so that there are no:.Each side must intersect only two other sides.A quadrilateral is any four-sided figure with the following properties:.Use the sum of the interior angles of a quadrilateral.Polygon Hierarchy Polygons Pentagons Triangles Quadrilaterals Kite Parallelogram Trapezoid Rectangle Rhombus Isosceles Trapezoid Square
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