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Math CC7/8 – Be Prepared On Desk: 1. 2. 3. 4. Learning Log: • HW: WS- Parallel Lines & Missing Angles Pencil Math Journal Learning Log Reminders: Parent Signature? • Picture Day – Tuesday! 1. Tracking Sheet 2. Quiz • GTS - Parent Sig.? Quiz? • Quiz Retake Monday in class • SD Test Wed 9/28 Picture Day –Tues. 9/27 during Math Fundraiser – Keep selling! Tasks for Today Cool Website: Mathopenref.com • Open in Chrome: Polygons < exterior angles • • • • Finish yesterday’s Lesson? Notes/Warm Up – in journal Inv. 3.4 with journal notes Begin HW? No! The sum of the 3 shortest side lengths must be greater than the longest side length. Yes! If it is possible to make one quadrilateral from 4 side lengths, it is possible to make many different shapes from the same lengths. Parallelograms (including rectangles) require opposite sides to be equal. Squares (rhombuses too) require all 4 sides to be equal. The triangle holds firm or rigid until the sides themselves buckle! If you push down on a vertex, it deforms into a different shape. Summarize Tomorrow? For both triangles and quadrilaterals – • Each side must be less than the sum of the others. Triangles are rigid figures. Quadrilaterals and other polygons are NOT! This is why triangles are used in building structures. Take notes in your journal – sketch examples SD Inv. 1, p. 9 (we skipped) Opposite angles of any parallelogram are congruent. Consecutive angles of any parallelogram are supplementary (180 degrees). Given just one angle measurement you can find all other angles! Sketch the 2 lines and transversal below A transversal through a set of parallel lines forms congruent angles. (a, c, e, and h are congruent) (b, d, f, and g are congruent) Vertical angles: a and c b and d e and h f and g 2. Supplementary angles are any adjacent pair: a and b, b and c, c and d, a and d, e and f, f and h, g and h, and e and g. 3. Vertical angles are always congruent! If a and c are vertical, they have a common supplement b, so they must be the same measure. Warm Up Good Review before Retake!