1. Bell work: What do you remember? List all the quadrilaterals that have: A) all sides congruent B) opposite sides congruent C) diagonals perpendicular D) diagonals congruent E) consecutive angles supplementary F) all angles are right angles G) diagonals bisect the opposite angles

2. 6-5 Conditions for Rectangles, Rhombuses, and Squares Rigor: Use properties to determine if a parallelogram is a rhombus, rectangle, or square Relevance: Architects and construction workers use quadrilateral properties to make sure they have built/designed correctly

3. Coordinate Proofs A) Prove the conditions in the definitions or properties specific to the special quadrilateral B) Use distance formula, slope formula, and midpoint formula C) Complete proofs on pages 258, 259, 263, and 264

4. EX 1: What is the most precise name for this parallelogram? A)B) Rhombus – a diagonal bisects the opposite angles Square – diagonals are congruent (rectangle) and are ┴ (rhombus)

5. Real World Application!

6. 6-5 Classwork from the Core Book Standard Pg 265 #3, 4 Pg 267 #2, 6, 7 Honors Pg 265 #3, 4 Pg 267 #4, 6, 7

7. 6-6 Trapezoids and Kites Rigor: Correctly identify and use properties of trapezoids and kites Relevance: Design

8. Definition of a Trapezoid – a quadrilateral with exactly 1 pair of parallel sides Isosceles Trapezoid – a trapezoid with congruent legs Trapezoids & Isosceles Trapezoids

9. Theorem – each pair of base angles of an isosceles trapezoid is congruent Theorem – the diagonals of an isosceles trapezoid are congruent. Isosceles Trapezoid Theorems

10. Kites Definition – A quadrilateral with 2 pairs of consecutive sides congruent and no opposite sides congruent Theorem – The diagonals of a kite are ┴. Theorem – The diagonal of a kite that is also the line of symmetry bisects the opposite angles

11. EX 1: Trapezoids a) Calculate the measure of each angle of the isosceles trapezoid. b) What is the length of each diagonal if QS =7x - 5, & RP =3x +11

12. EX 2: For kite KLMN, calculate the measures of the numbered angles.

13. EX 3: Constructing a Kite Kat is using a pattern to make a kite to fly outside. To finish the kite, she is putting a binding around the outer edge. What is the perimeter of the kite (round to the nearest hundredth)? If the binding is sold in 2yd packages, how many packages must she buy?

14. Trapezoid Midsegment Theorem The midsegment of a trapezoid is the segment connecting the midpoints of the legs Theorem – The midsegment of a trapezoid is parallel to each base, and its length is ½ the sum of the lengths of the bases.

15. EX 4: Calculate EH.

16. Summary of quadrilaterals (put this on the back of your toolkit)

17. 6-6 Classwork from Textbook: Heading: 6-6 CW pg 444 – 445 # 9 – 11, 13, 21, 27 – 29, 41, 43 For #41 & 43, must calculate slope & side lengths to justify answer Due Thurs (1, 3, 5) & Fri (2, 4, 7) Quiz Thurs (1, 3, 7, 5) & Fri (2, 4) on coordinate geometry Ch 6 test next Wed on 6-2 through 6-6.