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+ Geometry Chapter 7: Proof and Quadrilaterals 7.2.1: Special Quadrilaterals and Proof + Learning Targets: n I can identify parallelograms and kites based on information about their sides, angles, and diagonals. n I can apply properties of congruent triangles to prove theorems about quadrilaterals. + Mathematical Practice: n Construct viable arguments and critique the reasoning of others. n Mathematically proficient students justify their conclusions. + CCSSM: n Prove geometric theorems. n Prove n Make theorems about parallelograms. geometric constructions. n Make formal geometric constructions with a variety of tools and methods. + Quote for today: n “Iron rusts from disuse; stagnant water loses its purity and in cold weather becomes frozen; even so does inaction sap the vigor of the mind.” n Leonardo da Vinci, (1452 – 1519) + Corresponding Parts of Congruent Figures Are Congruent: n If two shapes are congruent, then all pairs of corresponding parts in the two shapes are also congruent. + Quadrilaterals: n Parallelograms: n Opposite sides ____________________ n Opposite angles ___________________ n Adjacent angles ___________________ + Quadrilaterals: n Kites: n Two pairs of adjacent, congruent sides. n One diagonal bisects a pair of opposite angles. n One diagonal bisects ____________________ n Diagonals are ___________________________ + Reflexive Property of Equality: n The measure of any side or angle is equal to itself. n For example, in the parallelogram below, because of the reflexive property. + Assignments: n WU 7.2.1: Problems 7-97 and 7-98. n CW 7.2.1: Problems 7-49, 7-51, & 7-52. n HW 7.2.1: Problems 7-54 and 7-57 through 7-60.