The coordinates of the vertices of a quadrilateral are P (1,2), R (1,4), S (3,4), and T (4,2). Reflect the figure over the x-axis.  What is the rule?  (You may use a grid to draw the quadrilateral PRST to create P’R’S’T’  and use the table to determine which rule describes this transformation.)

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The coordinates of the vertices of a quadrilateral are (1,2), (1,4), (3,4), and (4,2). Reflect the figure over the x-axis.  What is the rule?  (You may use a grid to draw the quadrilateral PRST to create P’R’S’T’  and use the table to determine which rule describes this transformation.)

The image displays a standard Cartesian coordinate grid, useful for graphing mathematical functions or data points. Here's a detailed explanation:

1. **Axes**:
   - The horizontal line is the x-axis. It is labeled with positive numbers (1 through 9) on the right side and negative numbers (-1 through -9) on the left side of the origin.
   - The vertical line is the y-axis. It is labeled with positive numbers (1 through 9) above the origin and negative numbers (-1 through -9) below the origin.
   - The point where the x-axis and y-axis intersect is the origin, labeled as (0,0).

2. **Grid**:
   - The grid is composed of square units, facilitating precise plotting and analysis of points across the four quadrants.

3. **Quadrants**:
   - **Quadrant I**: The top right section where both x and y values are positive.
   - **Quadrant II**: The top left section where x values are negative and y values are positive.
   - **Quadrant III**: The bottom left section where both x and y values are negative.
   - **Quadrant IV**: The bottom right section where x values are positive and y values are negative.

This type of graph is essential for visualizing relationships between two variables and is widely used in mathematics and science education.
Transcribed Image Text:The image displays a standard Cartesian coordinate grid, useful for graphing mathematical functions or data points. Here's a detailed explanation: 1. **Axes**: - The horizontal line is the x-axis. It is labeled with positive numbers (1 through 9) on the right side and negative numbers (-1 through -9) on the left side of the origin. - The vertical line is the y-axis. It is labeled with positive numbers (1 through 9) above the origin and negative numbers (-1 through -9) below the origin. - The point where the x-axis and y-axis intersect is the origin, labeled as (0,0). 2. **Grid**: - The grid is composed of square units, facilitating precise plotting and analysis of points across the four quadrants. 3. **Quadrants**: - **Quadrant I**: The top right section where both x and y values are positive. - **Quadrant II**: The top left section where x values are negative and y values are positive. - **Quadrant III**: The bottom left section where both x and y values are negative. - **Quadrant IV**: The bottom right section where x values are positive and y values are negative. This type of graph is essential for visualizing relationships between two variables and is widely used in mathematics and science education.
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