Math Problem Statement
Solution
The problem asks you to graph four points on the coordinate plane:
- (-2, 3)
- (2, 3)
- (-2, -3)
- (2, -3)
Step-by-Step Instructions:
-
Plot the Points:
- Point (-2, 3): Start at the origin (0,0), move 2 units to the left (because of the -2), and 3 units up.
- Point (2, 3): Start at the origin, move 2 units to the right, and 3 units up.
- Point (-2, -3): Start at the origin, move 2 units to the left, and 3 units down.
- Point (2, -3): Start at the origin, move 2 units to the right, and 3 units down.
-
Connect the Points:
- Connect these four points in sequence: (-2, 3), (2, 3), (2, -3), and (-2, -3).
This should form a rectangle. The rectangle's sides are parallel to the x-axis and y-axis, with a width of 4 units (from x = -2 to x = 2) and a height of 6 units (from y = 3 to y = -3).
Would you like more details on graphing, or have any other questions?
Here are five related questions to expand on this concept:
- What are the coordinates of the midpoints of each side of the rectangle?
- How can you find the area of this rectangle using the points?
- How do you find the distance between two points, such as (-2, 3) and (2, 3)?
- If the rectangle were rotated by 45 degrees, what would the new coordinates of the points be?
- How would the coordinates change if the rectangle was translated 3 units to the right?
Tip: When plotting points, always start at the origin and carefully move according to the signs of the coordinates.
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Graphing Points
Shapes on the Coordinate Plane
Formulas
Distance between two points
Area of a rectangle
Theorems
Coordinate geometry rules for rectangles
Suitable Grade Level
Grade 6
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