6.4 ­ Properties of Rhombuses, Rectangles, and Squares.notebook February 11, 2015 2/11: Warm Up Find the value of the variable(s) that make the quadrilateral a parallelogram. 2. 1. 1 6.4 ­ Properties of Rhombuses, Rectangles, and Squares.notebook February 11, 2015 6.4: Properties of Rhombus, Rectangles, and Squares Date: 2/11 Special Parallelograms: A ______________ is a parallelogram with ______ ____________ sides. A ______________ is a parallelogram with ______ _________ angles. A ______________ is a parallelogram with ______ ____________ sides and _______ __________ angles. 2 6.4 ­ Properties of Rhombuses, Rectangles, and Squares.notebook February 11, 2015 3 6.4 ­ Properties of Rhombuses, Rectangles, and Squares.notebook February 11, 2015 Ex 1). Is parallelogram FGHJ a rhombus, a rectangle, or a square? Explain. 4 6.4 ­ Properties of Rhombuses, Rectangles, and Squares.notebook February 11, 2015 Ex 2). List the quadrilaterals that have the given property. Choose among parallelogram, rhombus, rectangle, and square. a) Opposite angles are supplementary b) Consecutive sides are congruent c) Consecutive sides are perpendicular d) Consecutive angles are congruent 5 6.4 ­ Properties of Rhombuses, Rectangles, and Squares.notebook February 11, 2015 Ex 3). Decide whether the parallelogram is a rhombus, rectangle, or square. Explain. a) b) c) 6 6.4 ­ Properties of Rhombuses, Rectangles, and Squares.notebook February 11, 2015 More on Rhombuses: Theorem 6­13: If a parallelogram is a rhombus, then its diagonals are _________________________. Theorem 6­14: If a parallelogram is a rhombus, then each diagonal ___________ a pair of opposite angles. 7 6.4 ­ Properties of Rhombuses, Rectangles, and Squares.notebook February 11, 2015 Ex 4). What are the measures of the numbered angles in the rhombus? a) b) 8 6.4 ­ Properties of Rhombuses, Rectangles, and Squares.notebook February 11, 2015 More on Rectangles: If a parallelogram is a rectangle, then its diagonals are ______________. 9 6.4 ­ Properties of Rhombuses, Rectangles, and Squares.notebook February 11, 2015 Ex 5). In rectangle MNOP, PN = 7x – 8 and MO = 4x + 10. What is the length of PN? 10 6.4 ­ Properties of Rhombuses, Rectangles, and Squares.notebook February 11, 2015 FYI: Everything that is true for rhombuses and rectangles is true for a square! Homework: pg. 400 #1 – 4, 9 – 23, 24 – 32(e), 34, 35 Quiz #1 (6.1 ­ 6.4) ­ Friday MathXL due Friday 11 6.4 ­ Properties of Rhombuses, Rectangles, and Squares.notebook February 11, 2015 Graphic Organizer: Due: Wednesday 2/25 Name all quadrilaterals Draw arrows vertically Draw all diagonals Label/mark all things true about each quadrilateral 12.