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6.4 Special Parallelogram 2.notebook January 07, 2015 DIRT 1. Solve for the variable: a. 8x3=6x+5 b. 4(2y+1) = 20 2. Rewrite the following equation in slope intercept form: 2y + 7 = x 3. What does it mean if two lines are perpendicular? Explain using words. Then, draw and label a picture of two perpendicular lines. 1 6.4 Special Parallelogram 2.notebook January 07, 2015 6.4 Special Parallelograms Objectives: To use properties of diagonals of rhombus or rectangle To determine whether a parallelogram is a rhombus, or a rectangle Review: 5 ways to prove that a quadrilateral is a parallelogram: 1) Opposite sides are parallel 2) Opposite sides are congruent 3) Opposite angles are congruent 4) Diagonals bisect each other 5) One set of sides are both parallel and congruent 2 6.4 Special Parallelogram 2.notebook January 07, 2015 2 ways to prove that a parallelogram is a RECTANGLE: 1) One right angle in the corner 2) Diagonals are congruent 2 ways to prove that a parallelogram is a RHOMBUS: 1) Consecutive sides are congruent 2) Diagonals are perpendicular (Rt angle in the middle) *****The diagonals of a rhombus bisect the angles****** 3 6.4 Special Parallelogram 2.notebook January 07, 2015 Rhombus equilateral parallelogramall properties of a parallelogram apply and 1) All 4 sides are congruent 2) Diagonals are perpendicular bisectors 3) Each diagonal bisects 2 angles Code and label the picture Examples: Find the measures of the numbered angles in each rhombus (code and label the pictures) 1) 120 3 1 4 2 5 2) 50 4 1 2 3 4 6.4 Special Parallelogram 2.notebook 3) January 07, 2015 4y 2x 20 16 4) 2y2 3x+1 120 14 10 5) 5 6.4 Special Parallelogram 2.notebook January 07, 2015 One diagonal of a rectangle has length 8x + 2. The other diagonal has length 5x + 11. Find the length of each diagonal The diagonals of ABCD are perpendicular. AB = 16 cm and BC = 8 cm. Can ABCD be a parallelogram? Explain. 6