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Notes – Lesson 6.2 Geometry Name _________________________________ Theorem 6.1: __________________________________ sides of a parallelogram are ______________________________. If ABCD is a parallelogram, then Complete the proof. Consecutive Angles: Definition: Angles that share a ____________ and are ______________________________ (add up to 180 0) From the picture: A + B = _____________ B + __________ = 180o Examples: 1 = _________ 1 = _______, 2 = _______, 3 = ________ 1 = _______, 2 = _______, 3 = ________ Theorem 6.2: __________________________ angles of a parallelogram are _______________________. Examples: 1 = _______, 2 = _______, 3 = ________ 1 = _______, 2 = _______, 3 = _______ 1 = _______, 2 = _______, 3 = _______ Proving a Rectangle and a Square. Rectangle – a parallelogram with 4 right angles. To Prove: Opposite sides are _______________ Four 90o angles Square – a parallelogram with 4 congruent sides and 4 right angles. To Prove: Opposite sides are ______________ All sides are ______________ Four 90o angles \Example. Prove this figure is a rectangle. R(-2, -3), S(4, 0), T(3, 2), V(-3, -1) Theorem 6.3: The _____________________________ of a parallelogram _______________ each other. ABCD is a parallelogram. Therefore: BO = ___________ AO = ___________ Examples. Theorem 6.4: If three (or more) ______________ _________________ cut off congruent segments on one _________________, then they cut off congruent segments on every transversal. Using Algebra with the Theorems. IK = 35