9/10/2023 0 Comments Sas postulate![]() Area of kite ROPE =12(OE)(PW+WR) Factoring.Area of ∆OPE = 12(OE)(PW) and Area of ∆ORE = 12(OE)(WR) Formula for Area of Triangles.Area of kite ROPE = Area of ∆OPE + Area of ∆ORE Area Addition Postulate.PROE Diagonals of a kite are perpendicular to each other.Kite ROPE with diagonals PR and OE intersect at point W.The area of a kite is half the product of the lengths of its diagonals.In a kite, the perpendicular bisector of at least one is the other diagonal.Diagonals of an isosceles trapezoid are congruent.ĭefinition of Kite – a quadrilateral with two pairs of adjacent sides that are congruent, a rhombus is a special kind of kite.Opposite angles of an isosceles trapezoid are supplementary.∠AMO≅∠O Supplements of congruent angles are also congruent.∠A≅∠1 Base angles of an isosceles triangles are congruent.∆AME is an isosceles triangle Definition of Isosceles Triangle.ME≅OR In a parallelogram, any two opposite sides are.Quadrilateral MORE is a parallelogram Definition of Parallelogram.From M, draw ME//OR where E lies on AR Two points determine a line.AM≅OR Definition of Isosceles Trapezoid.The base angles of an isosceles trapezoid are congruent.TP//MS and TP=12MS RP//IN and RP=12IN Midline Theoremĭefinition of Isosceles Trapezoid – a trapezoid with opposite sides that are congruent.Trapezoid MINS with median TR that intersects the diagonal IS at P.Midsegment Theorem of Trapezoid – The median of a trapezoid is parallel to each base and its length is one half the sum of the lengths of the HS≅OT In a parallelogram, any two opposite sides are congruent.ĭefinition of Trapezoid – a quadrilateral with one pair of parallel sides.Quadrilateral HOTS is a parallelogram If opposite sides of a quadrilateral are congruent and parallel, then it is a. ![]() ![]() ![]() HN//ST Converse of Alternate Interior Angles Theorem.In OE, there is a point T such that OE≅ET Line Postulate.∆HNS, O is the midpoint of HN and E is the midpoint of Given: ∆HNS, O is the midpoint of HN and E is the midpoint of NSġ. Midline Theorem – The segment that joins the midpoints of two sides of a triangle is parallel to the third side and half as long. Week 3- Midline Theorems, Trapezoid and Kites ![]()
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