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Properties of trapezoids kites and If the legs of a trapezoid are congruent, then the trapezoid is an ________________ trapezoid. equilateral isosceles irregular absolute Theorems True or false? If a trapezoid is isosceles, then each pair of base angles is congruent. A B ∢A ≅ ∡D and ∢B ≅ ∡D True False C D True or false? A trapezoid is isosceles if and only if its diagonals are congruent. Trapezoid ABCD is isosceles if and only if AC ≅ BD A B True False C D If MN is the midsegment of trapezoid ABCD, then MN AB, MN DC and C M A MN = ____(AB + CD) B N D Midsegment Theorem for Trapezoids ½ ⅓ ¼ ⅔ S M P Find MN 12 in 28 in Q N R 15 in 20 in 25 in 30 in If a quadrilateral is a kite,then its diagonals are __________________. congruent perpendicular proportional parallel If a quadrilateral is a kite, then exactlyone pair of opposite angles are congruent. B A C ∢B ≅ ∢ D ∢B ≅ ∡ C ∡C ≅ ∡A ∡C ≅ ∡D D Find the m∡G H 100o E G 40o 140o 110o 120o cannot be determined F Find the value of x. 2 3 4 5 10 7 2x What is the value of the midsegment? 36 7x - 6 x2 cannot be done 36 50 36 or 50 If you missed more than 2 questions, please open your book and do some of the odds for practice (the answers are in the back of the book). m<BEA m<BCE m<ABE CD = AC = degrees degrees degrees m < 1 m < 6 m < 7 m < 8 m < 5 Find the measures of the following angles. 90 ? 42 ? 38 ? 52 ? 48 ? What is AC? What shape is this? 2.6 m 5.2 m 5.8 m Cannot be determined What is the... m < 1 = m < 2 degrees degrees m < 2 = m < 3 = m < 1 = Find the measures of the angles degrees degrees degrees Find the value of x Find BC Find EF |