IM 6.7.15 Lesson: Shapes on the Coordinate Plane
Draw a figure in the coordinate plane below with at least three of following properties:
[list][*]6 vertices[br][/*][*]1 pair of parallel sides[br][/*][*]At least 1 right angle[/*][*]2 sides the same length[/*][/list]Is your figure a polygon? Explain how you know.[br]
Here are the coordinates for four polygons. Move the points, in order, to their locations on the coordinate plane
Polygon 1: (-7,4), (-8,5), (-8,6), (-7,7), (-5,7), (-5,5), (-7,4)
Polygon 2: (4,3), (3,3), (2,2), (2,1), (3,0), (4,0), (5,1), (5,2), (4,3)
Polygon 3: (-8,-5), (-8,-8), (-5,-8), (-5,-5), (-8,-5)
Polygon 4: (-5,1), (-3,3), (-1,-2), (0,3), (-3,3), (-5,1)
Find the area of Polygon 4 in this activity.
The following diagram shows Andre’s route through a maze. He started from the lower right entrance.[br][br][img]data:image/png;base64,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[/img][br][br]What are the coordinates of the first two and the last two points of his route?
How far did he walk from his starting point to his ending point?
Show how you know.
Jada went into the maze and stopped at (-7, 2). Plot that point and other points that would lead her out of the maze (through the exit on the upper left side).
How far from [math](\text{-}7,2)[/math] must she walk to exit the maze?
Show how you know.
IM 6.7.15 Practice: Shapes on the Coordinate Plane
[size=150]The coordinates of a rectangle are [math]\left(3,0\right)[/math], [math]\left(3,-5\right)[/math], [math]\left(4,0\right)[/math] and [math]\left(-4,-5\right)[/math].[br][/size][br]What is the length and width of this rectangle?
What is the perimeter of the rectangle?
What is the area of the rectangle?
Draw a square with one vertex on the point (-3, 5) and a perimeter of 20 units. Write the coordinates of each other vertex.
Plot and connect the following points to form a polygon: (-3, 2), (2, 2), (-1, -4), (-1, -2), (-3, -2), (-3, 2)
Find the perimeter of the polygon.
For each situation, select all the equations that represent it. Choose one equation and solve it.
Jada’s cat weighs 3.45 kg. Andre’s cat weighs 1.2 kg more than Jada’s cat.
How much does Andre’s cat weigh?
Apples cost $1.60 per pound at the farmer’s market. They cost 1.5 times as much at the grocery store.
How much do the apples cost per pound at the grocery store?