1. Date: 8.4 Notes: Rectangles Lesson Objective: Recognize and apply properties of rectangles. Determine whether parallelograms are rectangles. CCSS: G.CO.11, G.GPE.4

2. Lesson 1: Properties of Rectangles Using the blue lines and the red margin, construct a rectangle with base DC 2”. D 2” C

3. Lesson 1: Properties of Rectangles With a ruler, draw AD 3 lines up the margin from D. A D 2” C

4. Lesson 1: Properties of Rectangles Draw AB 2” along the blue line. Connect B to C. A 2” B D 2” C

5. Lesson 1: Properties of Rectangles How do you know this is a rectangle? Is this a parallelogram? A 2” B D 2” C

6. Lesson 1: Properties of Rectangles ABCD is a rectangle because: 1) 2) A 2” B D 2” C

7. Lesson 1: Properties of Rectangles Draw diagonals AC and BD. A 2” B D 2” C

8. Lesson 1: Properties of Rectangles Copy your rectangle onto tissue paper. Reflect the tissue upside down and slide it onto the original figure. What do you notice? A 2” B D 2” C

9. Lesson 1: Properties of Rectangles CONDITIONS OF RECTANGLES: 1)Must 1 st meet parallelogram conditions 2)If 1 / is a right /, then all 4 / s are rt / s 3)Diagonals A 2” B D 2” C

10. Lesson 2: Using Special Proper­ties of Rectangles A woodworker constructs a rectan­gular picture frame so that JK = 50 cm and JL = 86 cm. Find the measures. a.HM b.LM

11. Lesson 3: Rectangles in the Coord. Plane Quadrilateral JKLM has vertices J(-10, 2), K(-8, -6), L(4, -3) and M(2, 5). Determine whether JKLM is a rectangle.

12. Lesson 3: Rectangles in the Coord. Plane Quadrilateral JKLM has vertices J(-10, 2), K(-8, -6), L(4, -3) and M(2, 5). Determine whether JKLM is a rectangle. 1) Is JKLM a parallelo- gram?

13. Lesson 3: Rectangles in the Coord. Plane Quadrilateral JKLM has vertices J(-10, 2), K(-8, -6), L(4, -3) and M(2, 5). Determine whether JKLM is a rectangle. 1) Is JKLM a parallelo- gram? 2) Is JKLM a rectangle?

14. Lesson 4: Using Prop. Of Rectangles and Algebra Quad. JKLM is a rectangle. If m/ KJL = (2x + 4)° and m/ JLK = (7x + 5)°, find x. J K P M L

15. 8.4: Do I Get It? 1. 2. If JP = 3y – 5 and MK = J K 5y + 1, find y. P M L 3.Quad. PQRS has vertices P(-5,3), Q(1,-1), R(-1,-4) and S(-7,0). Determine whether PQRS is a rectangle.