Trapezoid and Isosceles Trapezoid

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Presentation transcript:

Trapezoid and Isosceles Trapezoid 1. Defining characteristic: one pair of sides must be ________________ 2. Defining characteristic of an isosceles trapezoid: the pair of non-parallel sides must be: _________ 3. Each pair of angles on the same base of an isosceles trapezoid must be: _____________________ 4. A pair of angles from different bases of an isosceles trapezoid must be: ______________________ Isosceles Trapezoid

Use the following rhombus to solve the next two problems: If m∠DAE = 55°, find the measures of ALL remaining angles. If m∠AEB = (5x + 20)°, what is the value of x?

Prove that the diagonals of a rhombus are perpendicular: Given: ABCD is a Rhombus Prove: AC ⊥ BD A B Prove that the diagonals of a rectangle are congruent: Given: ABCD is a Rectangle Prove: AC ≅ BD C D