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Quick Discussion 10.1 Squares and Rectangles 10.2 Parallelograms and Rhombi 10.3 Kites and Trapezoids
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Determine the properties of squares and rectangles Determine the properties of parallelograms and rhombi Determine the properties of kites and trapezoids Objectives 10.1-10.3
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Describe what you know about each of the figures based on the characteristics Individually, fill out the form 5 Minutes – On Your Own Prior Knowledge
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Fill in the form as we go Sides Angles Diagonals Other Properties of Quadrilaterals
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Properties of a Square All sides congruent All angles are congruent All angles are right angles Opposite sides are parallel Diagonals are congruent Diagonals bisect each other The vertex angles are bisected by the diagonals The diagonals are perpendicular 10.1 Properties of Squares and Rectangles
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Properties of a Rectangle Opposite sides are congruent All angles are right angles All angles are congruent Opposite sides are parallel Diagonals are congruent The diagonals bisect each other 10.1 Properties of Squares and Rectangles
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Parallelogram/Congruent-Parallel Side Theorem(Page 761) If one pair of opposite sides of a quadrilateral is both congruent and parallel, then the quadrilateral is a parallelogram. Properties of a Parallelogram Opposite sides are congruent Opposite sides are parallel Opposite angles are congruent The diagonals are bisected 10.2 Properties of Parallelograms and Rhombi
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Properties of a Rhombus All sides are congruent Opposite angles are congruent Opposite sides are parallel The diagonals are perpendicular The diagonals bisect each other The angles are bisected by the diagonals 10.2 Properties of Parallelograms and Rhombi
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Properties of a Kite Two disjoint pairs of consecutive sides congruent 2 different sets of consecutive sides congruent Non-vertex angles are congruent Angles between the non-congruent sides The diagonals are perpendicular The diagonal connecting the congruent angles is bisected by the other diagonal The vertex angles are bisected by the diagonal 10.3 Properties of Kites and Trapezoids
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Properties of a Trapezoid One set of sides are parallel (bases) In an isosceles trapezoid, the non-parallel sides are congruent In an isosceles trapezoid, the base angles are congruent Angles on each side of the bases 10.3 Properties of Kites and Trapezoids
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10.3 Problem 4: Midsegment of a Trapezoid Collaborate 1-8 (10 Minutes) Pg. 781 (-7,-5)(7,-5) (-4,4) (2,4)
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10.3 Problem 4: Midsegment of a Trapezoid
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The midsegment of a trapezoid is formed by connecting the midpoints of the legs of the trapezoid.
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10.3 Problem 4: Midsegment of a Trapezoid
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The Trapezoid Midsegment Theorem The midsegment of a trapezoid is parallel to each of the bases and its length is one half the sum of the lengths of the bases.
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Skills Practice 10.1 Pg. 714-715 (7-18) Skills Practice 10.2 Pg. 723-724 (1-8) Skills Practice 10.3 Vocab Pg. 733 (1-4) Problems Pg. 733-734 (1-8), Pg. 737-740 (15-26) Formative Assessment
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