The rectangle in the diagram has its vertices labeled with coordinates, and we need to determine the coordinates of point $A$. From the diagram:

• The coordinates of the top-right corner are $(7, 9)$.
• The coordinates of the bottom-right corner are $(7, 4)$.
• The coordinates of the bottom-left corner are $(-5, 4)$.

Observing the Geometry of the Rectangle

Since the rectangle has parallel sides, the x-coordinate of $A$ will match the x-coordinate of the bottom-left corner $(-5, 4)$, and the y-coordinate of $A$ will match the y-coordinate of the top-right corner $(7, 9)$.

Coordinates of $A$:

$A = (-5, 9)$

Would you like an explanation on how to verify this or details on using properties of shapes?

Here are 5 questions to explore the topic further:

1. What is the formula for finding the area of a rectangle given the coordinates of its vertices?
2. How can you find the length and width of a rectangle from the coordinates of its corners?
3. What is the distance formula and how can it be applied to calculate the perimeter of a rectangle?
4. How can you determine if a quadrilateral is a rectangle using its coordinates?
5. Can the slope of sides be used to verify if a shape is a rectangle? How?

Tip: Always double-check your coordinate placement by reviewing alignment along the x and y axes!