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Objective#14.RectanglePropertiesNOTES.notebook DO NOW: In triangle DEF, an exterior angle at D measures 170o, and m<E = 80o. What is the longest side of the triangle? October 15, 2012 October 15, 2012 Objective #14: What are the properties of rectangles? Homework #14 Ditto 1 Objective#14.RectanglePropertiesNOTES.notebook October 15, 2012 What are the Properties of a Rectangle? What is a rectangle? a parallelogram with four right angles. A rectangle has seven properties: 1.) Opposite sides are parallel 2.) Opposite sides are congruent 3.) Opposite angles are congruent 4.) Diagonals bisect each other 5.) Consecutive angles are supplementary 6.) All four angles are right angles (All angles are congruent) 7.) Diagonals are congruent 2 Objective#14.RectanglePropertiesNOTES.notebook October 15, 2012 Let's apply the properties of a rectangle to help solve some examples: Quadrilateral ABCD is a rectangle. Use the figure provided to answer the following questions: 1.) 2.) If AC = 2x + 13 and DB = 4x – 1, find DB. If AE = 3x + 3 and EC = 5x – 15, find AC. 3 Objective#14.RectanglePropertiesNOTES.notebook October 15, 2012 Let's apply the properties of a rectangle to help solve some examples: Quadrilateral ABCD is a rectangle. Use the figure provided to answer the following questions: 3.) If DE = 6x – 7 and AE = 4x + 9, find DB. 4.) If m<DAC = 2x + 4 and m<BAC = 3x + 1, find m<BAC. 5.) If m<BAC = x + 3 and m<CAD = x + 15, find m<BAC. 4 Objective#14.RectanglePropertiesNOTES.notebook October 15, 2012 5 Objective#14.RectanglePropertiesNOTES.notebook October 15, 2012 6 Objective#14.RectanglePropertiesNOTES.notebook October 15, 2012 7 Objective#14.RectanglePropertiesNOTES.notebook October 15, 2012 EXIT SLIP 8 Objective#14.RectanglePropertiesNOTES.notebook October 15, 2012 challenge question Archie has a piece of cardboard from which he wants to cut a rectangle with a diagonal that measures 12 inches. On one edge of the cardboard Archie makes two points that are less than 12 inches apart to be the endpoints of one side of the rectangle. Explain how Archie can use two pieces of string that are each 12 inches long to find the other two vertices of the rectangle. 9 Objective#14.RectanglePropertiesNOTES.notebook October 15, 2012 10