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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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Presentation on theme: "Quick Discussion 10.1 Squares and Rectangles 10.2 Parallelograms and Rhombi 10.3 Kites and Trapezoids."— Presentation transcript:

1 Quick Discussion 10.1 Squares and Rectangles 10.2 Parallelograms and Rhombi 10.3 Kites and Trapezoids

2   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

3   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

4   Fill in the form as we go  Sides  Angles  Diagonals  Other Properties of Quadrilaterals

5   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

6   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

7   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

8   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

9   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

10   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

11  10.3 Problem 4: Midsegment of a Trapezoid  Collaborate 1-8 (10 Minutes) Pg. 781 (-7,-5)(7,-5) (-4,4) (2,4)

12  10.3 Problem 4: Midsegment of a Trapezoid

13   The midsegment of a trapezoid is formed by connecting the midpoints of the legs of the trapezoid.

14  10.3 Problem 4: Midsegment of a Trapezoid

15

16   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.

17   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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