Unique+Quadrilateral+Construction

__ **Definition** __ This unique figure is a @quadrilateral with a single angle measuring greater than 180 This quadrilateral is unique for the following reasons: - It is a concave figure with an angle measuring greater than 180 - The diagonals form outside the figure - Only two triangles can be formed inside the figure

__ **Properties** __

// **Side Properties** // **1.** 2 consecutive pairs of sides are congruent
 * The consecutive side pairs refer to the top side pairs and bottom pairs in this orientation of the New Quadrilateral

//** Angle Properties **// **1.** The base angles are congruent
 * The base angles refer to the measured angles below (Angle DAB & Angle DCB)



Angle DAB + Angle DCB = Angle ADC 36.66 + 36.66 = 73.32 36.66(2) = 73.32
 * 2.** Sum of the base angles is congruent to the measure of the top angle
 * Top angle in this orientation of New Quadrilateral

// **1.** Opposite triangles are congruent **Example Proof** Prove: Triangle ADB is congruent to Triangle CDB
 * Triangle Properties** //