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April 09, 2015 April 09, 2015 (2,4) (0,1) (3,1) April 09, 2015 Statement Reason April 09, 2015 April 09, 2015 Study Guide (6.1-6.3) * Determine whether a figure is a polygon or not. If so, classify it by name, state whether it is concave or convex, and whether it is regular or not. * Find interior angle measures in a polygon. * Find exterior angle measures of a polygon. * Determine whether a figure is a parallelogram or not. (Know conditions to prove a quadrilateral is a parallelogram) * Given a parallelogram, find missing angle measures and side lengths. * Given vertices of a quadrilateral, prove it is a parallelogram. * Write a two-column proof involving properties of parallelograms. April 09, 2015 (6.4) Rectangles Objective: To recognize and apply properties of rectangles. To determine/prove whether parallelograms are rectangles. Why: Properties of rectangles are used in set design for plays, fence designs, and many other structural designs. April 09, 2015 Obj: To recognize and apply properties of rectangles. To determine/prove whether parallelograms are rectangles. Rectangle: a parallelogram with 4 right angles Recall: Since rectangles are parallelograms, they have all the properties of parallelograms. *opp sides ll *opp sides Also: The diagonals of a rectangle are = . A B C *consecutive angles supp. *diagonals bis. each other AC = BD D = *opp angles = April 09, 2015 Obj: To recognize and apply properties of rectangles. To determine/prove whether parallelograms are rectangles. April 09, 2015 Obj: To recognize and apply properties of rectangles. To determine/prove whether parallelograms are rectangles. April 09, 2015 Obj: To recognize and apply properties of rectangles. To determine/prove whether parallelograms are rectangles. Ways to Prove a Quad. is a Rectangle: 1. If a quad. with 4 right angles, then a rectangle. 2. If a parallelogram with one right angle, then a rectangle. 3. If a parallelogram with diagonals congruent, then a rectangle. April 09, 2015 Obj: To recognize and apply properties of rectangles. To determine/prove whether parallelograms are rectangles. April 09, 2015 Obj: To recognize and apply properties of rectangles. To determine/prove whether parallelograms are rectangles. Determine/Prove whether the quadrilateral is a rectangle. A(-5,3), B(1,-1), C(-1,-4), D(-7,0) April 09, 2015 Obj: To recognize and apply properties of rectangles. HF: To determine/prove whether parallelograms are rectangles. (HR) (6.4)Pg.426: 15, 19, 21-23, 26-31, 39, 40, 42, 45, 49 April 09, 2015 Obj: To recognize and apply properties of rectangles. To determine/prove whether parallelograms are rectangles. April 09, 2015 Obj: To recognize and apply properties of rectangles. To determine/prove whether parallelograms are rectangles. April 09, 2015 Obj: To recognize and apply properties of rectangles. To determine/prove whether parallelograms are rectangles.