Warm Up
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Calculate the perimeter & area for each figure.
Warm Up
Coordinate GeometryFriday May 10th
Equations Slope
Distance
How can you determine the triangle’s classification on a graph?
We use the distance formula to measure the length of each side.
What makes a triangle scalene, isosceles, or equilateral?
Plot the triangle and classify!
ParallelogramTwo 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
A(6, 3), B(2, 0), C(2, 5), D(6, 2)
Try One!
RectangleFour 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
J(1, 8), K(1, 6), L(5, 0), M(7, 2)
Try One!
RhombusFour 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
A(1, 8), B(4, 6), C(1, 2), D(2, 0)
Try One!
SquareFour 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
A(5, 14), B(2, 11), C(5, 8), D(8, 11)
Try One!
TrapezoidExactly 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
A(3, 4), B(0, -1), C(2, -1), D(7, 4)
Try One!
Isosceles TrapezoidExactly 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
A(4, 2), B(1, 5), C(3, 5), D(6, 2)
Try One!
1. Q(5, 1), R(1, 2), S(1, 7), T(5, 4)
Try Some Mixed Graphs!!2. A(2, 0), B(1, 3), C(2, 6), D(5, 3)
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.
FOLDABLE
WorksheetHomework
Warm Up
Coordinate Area & Perimeter
Monday May 13th
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.
Think back before the weekend
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.
Perimeter
Do you remember the area formulas?
Triangle =
Parallelogram = (This includes rectangle, rhombus, & square)
Trapezoid =
Area
Triangles-Calculate Perimeter
Triangles- Calculate Area
Parallelogram- Calculate Perimeter
Rectangle- Calculate Perimeter
Rectangle- Calculate Area
Rhombus- Calculate Perimeter
Square- Calculate Perimeter
Square- Calculate Area
Trapezoid- Calculate Perimeter
Worksheet
Homework
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