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Warm Up. Calculate the perimeter & area for each figure. Coordinate Geometry. Friday May 10 th. Equations. Slope Distance. What makes a triangle scalene, isosceles, or equilateral?. How can you determine the triangle’s classification on a graph? We use the distance
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Warm Up • Calculate the perimeter & area for each figure.
Coordinate Geometry Friday May 10th
Equations Slope Distance
What makes a triangle scalene, isosceles, or equilateral? • How can you determine the triangle’s classification on a graph? • We use the distance formula to measure the length of each side.
Parallelogram • 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
Try One! • A(6, 3), B(2, 0), C(2, 5), D(6, 2)
Rectangle • 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
Try One! • J(1, 8), K(1, 6), L(5, 0), M(7, 2)
Rhombus • 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
Try One! • A(1, 8), B(4, 6), C(1, 2), D(2, 0)
Square • 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
Try One! • A(5, 14), B(2, 11), C(5, 8), D(8, 11)
Trapezoid • 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
Try One! • A(3, 4), B(0, -1), C(2, -1), D(7, 4)
Isosceles Trapezoid • 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
Try One! • A(4, 2), B(1, 5), C(3, 5), D(6, 2)
Try Some Mixed Graphs!! 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)
FOLDABLE • 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.
Homework • Worksheet
Coordinate Area & Perimeter Monday May 13th
Think back before the weekend • 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.
Perimeter • 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.
Area Do you remember the area formulas? • Triangle = • Parallelogram = (This includes rectangle, rhombus, & square) • Trapezoid =
Homework • Worksheet
