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

2. Objectives
Determine the properties of squares and rectangles
Determine the properties of parallelograms and rhombi
Determine the properties of kites and trapezoids

3. Properties of Quadrilaterals
Fill in the form as we go
Sides
Angles
Diagonals
Other

4. 10.1 Properties of Squares and Rectangles
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

5. 10.1 Properties of Squares and Rectangles
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

6. 10.2 Properties of Parallelograms and Rhombi
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

7. 10.2 Properties of Parallelograms and Rhombi
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

8. 10.3 Properties of Kites and Trapezoids
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

9. 10.3 Properties of Kites and Trapezoids
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. 10.3 Problem 4: Midsegment of a Trapezoid
Collaborate 1-8 (10 Minutes) Pg. 781
(-4,4)
(2,4)
(-7,-5)
(7,-5)

11. 10.3 Problem 4: Midsegment of a Trapezoid

12. 10.3 Problem 4: Midsegment of a Trapezoid
The midsegment of a trapezoid is formed by connecting the midpoints of the legs of the trapezoid.

13. 10.3 Problem 4: Midsegment of a Trapezoid

14. 10.3 Problem 4: Midsegment of a Trapezoid

15. 10.3 Problem 4: Midsegment of a Trapezoid
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.
𝑀𝐺 ∥ 𝐽𝐸 ∥ 𝐷𝑆
𝐽𝐸= 1 2 (𝑀𝐺+𝐷𝑆)

16. Formative Assessment Skills Practice 10.1 Skills Practice 10.2
Pg (7-18)
Skills Practice 10.2
Pg (1-8)
Skills Practice 10.3
Vocab Pg. 733 (1-4)
Problems Pg (1-8), Pg (15-26)