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Warm Up
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HW Check
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CIRCLES and POLYGONS
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Given (x1, y1) and (x2, y2) Formulas to Remember: Distance Formula:
Slope Formula: Midpoint Formula:
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Parallel and Perpendicular Lines
Parallel Lines- HAVE THE SAME SLOPE Perpendicular Lines: HAVE OPPOSITE RECIPROCAL SLOPE (form right angles!) Remember slopes of zero and undefined are always perpendicular!!! Show symbols for parallel & perpendicular
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Name as many 4 sided polygons as you can!
Quadrilaterals A four sided polygon. (a four sided shape!) Name as many 4 sided polygons as you can!
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Parallelogram A four sided figure with opposite sides parallel. AB is parallel to _________ AD is parallel to _________
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Rectangle A four sided figure with 4 right angles and opposite
congruent sides. Proving right angles… DC is ____________ to CB CB is ____________ to AB AB is ____________ to DA DA is ____________to DC Proving opposite sides congruent… DC is congruent to __________ DA is congruent to ___________ Show symbol for congruent.
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Square A figure with all sides congruent, and four right angles.
Proving right angles… DC is ____________ to CB CB is ____________ to AB AB is ____________ to DA DA is ____________to DC Proving four congruent sides… Show that DC has the same ______________ as __________ , _____________, and _____________.
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How to prove…. Sides are congruent In the coordinate plane if lines are vertical or horizontal count the units! If they are not vertical or horizontal use the distance formula. Sides are parallel (same slope) Use rise over run or the slope formula Sides are perpendicular (opposite reciprocal slopes)
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Formulas to know… Rectangle Area = Length * Width Perimeter = 2L + 2W Square Area = Length * Width (or A = side2) Perimeter = 4*side length
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Circle Set of points equal distant from the center. To find area:
Circumference is the “perimeter” of the circle How to find circumference: Diameter is 2 * radius.
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