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Calculate the perimeter & area for each figure.

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Friday May 10 th

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Slope Distance

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How can you determine the triangle’s classification on a graph? We use the distance formula to measure the length of each side.

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Two pairs of parallel sides Is this a PARALLELOGRAM? How did you determine this? Find the slope of each side, if opposite sides have the same slope, then the quadrilateral is a PARALLELOGRAM

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A ( 6, 3), B ( 2, 0), C ( 2, 5), D ( 6, 2)

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Four right angles Is this a RECTANGLE? How did you determine this? Find the slope of each side, if consecutive sides have the perpendicular slopes, then the quadrilateral is a RECTANGLE

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J ( 1, 8), K (1, 6), L ( 5, 0), M ( 7, 2)

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Four congruent sides Is this a RHOMBUS? How did you determine this? Find the length of each side, if each sides has the same length, then the quadrilateral is a RHOMBUS

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A (1, 8), B (4, 6), C (1, 2), D ( 2, 0)

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Four congruent sides and four right angles Is this a SQUARE? How did you determine this? Find the slope of each side and the length of each side, if consecutive sides have the perpendicular slopes and each side has the same length, then the quadrilateral is a SQUARE

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A ( 5, 14), B ( 2, 11), C ( 5, 8), D ( 8, 11)

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Exactly one pair of parallel sides Is this a TRAPEZOID? How did you determine this? Find the slope of each side, if one pair of opposite sides have the same slope and the other pair does not, then the quadrilateral is a TRAPEZOID

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A ( 3, 4), B (0, -1), C (2, -1), D (7, 4)

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Exactly one pair of parallel sides and congruent legs Is this an ISOSCELES TRAPEZOID? How did you determine this? Find the slope of each side and the length of the legs, if one pair of opposite sides have the same slope and the other pair does not and the legs have the same length, then the quadrilateral is a ISOSCELES TRAPEZOID

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A ( 4, 2), B ( 1, 5), C (3, 5), D (6, 2)

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1. Q ( 5, 1), R ( 1, 2), S ( 1, 7), T ( 5, 4) 2. A(2, 0), B( 1, 3), C(2, 6), D(5, 3)

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Triangle/Rhombus ◦ On coordinate plane: Length of each side, if all the same, it is a rhombus Parallelogram/Rectangle ◦ On coordinate plane: Slope of each side. If opposite sides have same slope, it is a parallelogram. If consecutive sides have perpendicular slopes, it is a rectangle Trapezoid ◦ On coordinate plane: Slopes of each side. If only one pair of opposite sides have same slope, it is a trapezoid. ◦ Find length of two legs, if legs are congruent, then it is isosceles.

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Worksheet

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Monday May 13 th

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On Friday, we classified figures on the coordinate plane. Today we will use those graphs to calculate area and perimeter of figures. For area we will leave out some figures because we are not going to find altitudes that are necessary for the calculations.

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How do you calculate perimeter for any figure? How do you do this on a coordinate plane? ◦ We will use the DISTANCE FORMULA to find each side length then add each side.

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Do you remember the area formulas? Triangle = Parallelogram = (This includes rectangle, rhombus, & square) Trapezoid =

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Worksheet

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