Date: 8.5(b) Notes: Squares Lesson Objective: Recognize and apply properties of squares. Determine whether quad. are rectangles, rhombi, or squares CCSS:

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Date: 8.5(b) Notes: Squares Lesson Objective: Recognize and apply properties of squares. Determine whether quad. are rectangles, rhombi, or squares CCSS: G.CO.11, G.GPE.4

Lesson 1: A Square Is a Square Construct square ABCD starting with AD 4 lines up the margin from D. A D

Lesson 1: A Square Is a Square With a ruler and/or a compass, construct the rest of square ABCD. A D

Lesson 1: A Square Is a Square Make DC = DA. A D C

Lesson 1: A Square Is a Square Make AB = DA. A B D C

Lesson 1: A Square Is a Square And finally, make BC = DA. A B D C

Lesson 1: A Square Is a Square Quad. ABCD is first a parallelogram because it has ________________________, A B D C

Lesson 1: A Square Is a Square Quad. ABCD is first a parallelogram because it has opp. sides. A B D C

Lesson 1: A Square Is a Square It is a rhombus because it has __________ _______________ and it is a rectangle because it has _________________. A B D C

Lesson 1: A Square Is a Square It is a rhombus because it has 4 sides and it is a rectangle because it has 4 rt / s. A B D C

Lesson 1: A Square Is a Square Draw diagonals AC and BD. A B D C

Lesson 1: A Square Is a Square What do you expect to be true about the diagonals? Why? A B D C

Lesson 1: A Square Is a Square The diagonals are ______________ because it is a rectangle, and _____________ and ____________________ because it is a rhombus. A B D C

Lesson 1: A Square Is a Square The diagonals are because it is a rectangle, and | and bisect the / s because it is a rhombus. A B D C

Lesson 1: A Square Is a Square A square is both a rectangle and a rhombus. A B D C

Lesson 2: Rectangle, Rhombus or Square? Given J(5, 0), K(8, -11), L(-3, -14), M(-6, -3), determine whether JKLM is a rhombus, a rectangle, or a square. List all that apply. Explain.

Lesson 3: Rectangle, Rhombus or Square? The diagonals of rhombus FGHJ intersect at K. Use the given information to find each measure or value. a.If FK = 5 and FG = 13, find KJ. b.If m/ JFK = 6y + 7 and m/ KFG = 9y – 5, find y.

8.5: Do I Get It? Yes or No 1. Determine whether JKLM with ver- tices J(-7, -2), K(0, 4), L(9, 2), and M(2, -4), is a rhombus, a rectangle, or a square. List all that apply. Explain. 2. The diagonals of rhombus FGHJ intersect at K. Find each measure or value. a.If m/ FJH = 82, find m/ KHJ. b.If GH = x + 9 and JH = 5x – 2, find y.