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Quadrilaterals Name Properties of Parallelograms Date I can … Essential Question(s): Key Concepts Quadrilateral Important Characteristics (2) Types of Quadrilaterals Properties of Parallelograms Notes Special Parallelograms Rhombus – Rectangle – Square – How do I prove that opposite sides are parallel? How do I prove that opposite sides are congruent? How do I determine if the angle is a right angle? Determining Types of Quadrilaterals Examples Note: When determining what type of quadrilateral something is, there are several key questions that you need to consider… Example 1. The vertices of a quadrilateral are A(2, 2), B(4, 6), C(8, 2), & D(10, 6). What type of quadrilateral is it? Prove it! Example 2 The vertices of a quadrilateral are 𝐸(4, 2), 𝐹(5, 5), 𝐺(1, 3), & 𝐻(2, 6) What type of quadrilateral is it? Prove it! Example 3 The vertices of a quadrilateral are 𝐽(1, 0), 𝐾(−3, 4), 𝐿(−2, −3), 𝑎𝑛𝑑 𝑀(−6, 1). What is this quadrilateral? Prove it! Example 4 Given quadrilateral ABCD with A (−5, 0), B (−1, 4), C (−5, −6), and D (7, 0)… a) Find the midpoint of each side labeling them E, F, G, and H, respectively. b) Connect the midpoints to form a new quadrilateral, EFGH. c) Classify this quadrilateral and explain why. Answer to the Essential Question Opposite sides are parallel Opposite sides are congruent Opposite angles are congruent Angle sum is 360° Both diagonals are congruent Diagonals bisect each other All four angles are right angles Diagonals are perpendicular Diagonals bisect each angle All sides are congruent Angles do NOT have to be right angles Squares Rectangles Properties Chart Parallelograms Quadrilateral Quadrilaterals What I Think I know before the Lesson: Opposite sides are parallel Opposite sides are congruent Opposite angles are congruent Angle sum is 360° Both diagonals are congruent Diagonals bisect each other All four angles are right angles Diagonals are perpendicular Diagonals bisect each angle All sides are congruent Angles do NOT have to be right angles Squares Rectangles Properties Chart Parallelograms Quadrilateral Quadrilaterals What I Know after the Lesson: