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• ANSWER it if you are genius… • A man and his wife have three sons, and every one of the sons has a sister… • How many are there in the family? • A. 6 B. 8 C. 10 D. 12 Warm up 1. Identify the transformation ∆RST → ∆XYZ. Reflection over the y axis 2. Is XY congruent to RS? Yes 3. What is the length of XY? Math is brought to you by the number … •April 18, 2013 •Day 65 of 90 •90-65 = Types of Quadrilaterals (4-sided figures) A four sided figure with both pairs of opposite sides parallel Some Special Properties of Parallelograms • Opposite sides are congruent • Diagonals bisect each other • Both pairs of opposite sides are parallel To Prove Parallel (use slope formula) • Means opposite sides have the SAME SLOPE Sides Congruent (use distance formula) • Means their distances are the same Solve for x. Solve for x. A parallelogram with 4 right angles Some Special Properties of Rectangles • All the properties of a parallelogram • Diagonals are congruent • 4 right angles To Prove Parallel (use slope formula) • Means opposite sides have the SAME SLOPE 4 Right Angles (use slope formula) • Means consecutive sides have opposite reciprocal slopes Opposite Sides Congruent (use distance formula) • Means opposite sides have the same distance A parallelogram with 4 congruent sides Some Special Properties of Rhombus • All the properties of a parallelogram • Diagonals are perpendicular • 4 congruent sides To Prove Parallel (use slope formula) • Means opposite sides have the SAME SLOPE Perpendicular (use slope formula) • Means diagonals have opposite reciprocal slopes Sides Congruent (use distance formula) • Means their distances are the same Solve for x in this rhombus. Rhombus. 1. VY = 2. mZVY Z A parallelogram with 4 congruent sides & 4 right angles Some Special Properties of Square •All the properties of a parallelogram, rectangle, & rhombus Solve for x in this square. Square 1. EJ = 2. HF = 3. mEJF 4. mHGF A quadrilateral with 2 pairs of consecutive congruent sides, but opposites sides are NOT parallel Some Special Properties of Kite •Diagonals are perpendicular To Prove Not Parallel (use slope formula) • All sides have a different slope 2 Pairs of Consecutive Sides Congruent (use distance formula) • Means two pair of sides have the same distance A quadrilateral with 1 pair of parallel sides called bases Have only one pair of opposite sides that are parallel. base leg leg base A quadrilateral with 1 pair of parallel sides called bases and nonparallel sides are congruent (legs) Some Special Properties of Isosceles Trapezoid •Diagonals are congruent To Prove Bases Parallel (use slope formula) • Means 1 pair of opposite sides have the SAME SLOPE Legs Congruent (use distance formula) • Means their distances are the same Diagonals Congruent (use distance formula) • Means their distances are the same Classifying Triangles by Sides • Equilateral – 3 congruent sides • Isosceles – 2 congruent sides • Scalene – No sides congruent To Prove Congruent (use distance formula) • Means their distances are the same; figure out how many sides of the triangle have the same distance Classwork Find the Missing Point Worksheet Homework Quadrilaterals and Parallelograms Homework Worksheet