(Turtle: point in a rectangle?) Write a program that prompts...

(Turtle: point in a rectangle?) Write a program that prompts the user to enter a point $(x, y)$ and checks whether the point is within the rectangle centered at $(0,$ 0) with width 100 and height $50 .$ Display the point, the rectangle, and a message indicating whether the point is inside the rectangle in the window, as shown in Figure 4.14

Key Concepts

Cartesian Coordinate System

This concept involves representing points in a plane using an ordered pair of numbers (x, y) where the x-coordinate represents the horizontal position and the y-coordinate represents the vertical position. It forms the basis for any geometric computation, including determining the location of points relative to shapes such as rectangles.

Geometric Computations

This refers to the process of calculating distances, boundaries, and relationships between points and shapes. In this context, it involves computing the boundaries of a rectangle given its center, width, and height, and then determining whether a given point lies within these boundaries.

Conditional Logic

Conditional logic is a fundamental programming concept that uses statements like if, else, and else-if to execute code blocks based on boolean conditions. It is essential for checking whether the coordinates of a point fall within the computed boundaries of a rectangle.

User Input Processing

This involves obtaining and handling input from the user, converting it into a suitable format for processing, and using it in subsequent computations. It is important in interactive programs where dynamic data drives the program’s behavior.

Graphical Representation

Graphical representation entails visually displaying geometric shapes and points using a computer's graphics capabilities. This concept covers the drawing of shapes such as rectangles and points, as well as rendering messages, which can be implemented using various graphical libraries or tools.

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