Graph Square VWXY With Verticals V (4,-9) W(6,-9,) X(6,-7) And Y(4,-7) I Need The Answer In Square Units And Where To Place The Line!

Introduction

In geometry, a square is a quadrilateral with four equal sides and four right angles. When given the coordinates of the vertices of a square, we can use these coordinates to calculate the area of the square and understand its geometry. In this article, we will explore the graph square VWXY with verticals V(4,-9), W(6,-9), X(6,-7), and Y(4,-7) and calculate its area.

Understanding the Coordinates

To begin, let's understand the coordinates of the vertices of the square VWXY. The coordinates are given as:

• V(4,-9)
• W(6,-9)
• X(6,-7)
• Y(4,-7)

These coordinates represent the x and y values of each vertex. The x-coordinate represents the horizontal distance from the origin, while the y-coordinate represents the vertical distance from the origin.

Calculating the Length of the Sides

To calculate the area of the square, we need to find the length of one of its sides. Since the square has four equal sides, we can find the length of any side and use it to calculate the area.

Let's find the length of side VW. We can use the distance formula to find the length of this side:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Plugging in the coordinates of V and W, we get:

Distance = √((6 - 4)^2 + (-9 - (-9))^2) = √((2)^2 + (0)^2) = √(4) = 2

So, the length of side VW is 2 units.

Calculating the Area of the Square

Now that we have the length of one side, we can calculate the area of the square. The area of a square is given by the formula:

Area = side^2

where side is the length of one side of the square.

Plugging in the length of side VW, we get:

Area = 2^2 = 4

So, the area of the square VWXY is 4 square units.

Understanding the Geometry of the Square

Now that we have calculated the area of the square, let's understand its geometry. The square VWXY has four equal sides and four right angles. The length of each side is 2 units, and the area of the square is 4 square units.

Conclusion

In this article, we explored the graph square VWXY with verticals V(4,-9), W(6,-9), X(6,-7), and Y(4,-7) and calculated its area. We found that the length of one side of the square is 2 units, and the area of the square is 4 square units. We also understood the geometry of the square, including its four equal sides and four right angles.

Key Takeaways

• The coordinates of the vertices of the square VWXY are V(4,-9), W(6,-9), X(6,-7), and Y(4,-7).
• The length of one side of the square is 2 units.
• The area of the square is 4 square units.
• The square VWXY has four equal sides and four right angles.

Frequently Asked Questions

Q: What is the length of side VW?

A: The length of side VW is 2 units.

Q: What is the area of the square VWXY?

A: The area of the square VWXY is 4 square units.

Q: What is the geometry of the square VWXY?

A: The square VWXY has four equal sides and four right angles.

Q: How do I calculate the area of a square?

Introduction

In our previous article, we explored the graph square VWXY with verticals V(4,-9), W(6,-9), X(6,-7), and Y(4,-7) and calculated its area. We found that the length of one side of the square is 2 units, and the area of the square is 4 square units. In this article, we will answer some frequently asked questions about the graph square VWXY.

Q&A

Q: What is the length of side VW?

A: The length of side VW is 2 units.

Q: What is the length of side WX?

A: The length of side WX is also 2 units, since the square has four equal sides.

Q: What is the length of side XY?

A: The length of side XY is also 2 units, since the square has four equal sides.

Q: What is the length of side YV?

A: The length of side YV is also 2 units, since the square has four equal sides.

Q: What is the area of the square VWXY?

A: The area of the square VWXY is 4 square units.

Q: How do I calculate the area of a square?

A: To calculate the area of a square, you need to find the length of one side and square it. The formula for the area of a square is Area = side^2.

Q: What is the geometry of the square VWXY?

A: The square VWXY has four equal sides and four right angles.

Q: How do I find the coordinates of the vertices of a square?

A: To find the coordinates of the vertices of a square, you need to know the length of one side and the position of the square on the coordinate plane. You can then use the distance formula to find the coordinates of the vertices.

Q: What is the distance between two points on a coordinate plane?

A: The distance between two points on a coordinate plane can be found using the distance formula: Distance = √((x2 - x1)^2 + (y2 - y1)^2).

Q: How do I graph a square on a coordinate plane?

A: To graph a square on a coordinate plane, you need to know the coordinates of the vertices of the square. You can then plot the vertices on the coordinate plane and draw the square.

Conclusion

In this article, we answered some frequently asked questions about the graph square VWXY. We hope that this article has been helpful in understanding the geometry and properties of the square VWXY.

Key Takeaways

• The length of one side of the square VWXY is 2 units.
• The area of the square VWXY is 4 square units.
• The square VWXY has four equal sides and four right angles.
• The distance between two points on a coordinate plane can be found using the distance formula.
• To graph a square on a coordinate plane, you need to know the coordinates of the vertices of the square.

Frequently Asked Questions

Q: What is the length of side VW?

A: The length of side VW is 2 units.

Q: What is the length of side WX?

A: The length of side WX is also 2 units, since the square has four equal sides.

Q: What is the length of side XY?

A: The length of side XY is also 2 units, since the square has four equal sides.

Q: What is the length of side YV?

A: The length of side YV is also 2 units, since the square has four equal sides.

Q: What is the area of the square VWXY?

A: The area of the square VWXY is 4 square units.

Q: How do I calculate the area of a square?

A: To calculate the area of a square, you need to find the length of one side and square it. The formula for the area of a square is Area = side^2.

Q: What is the geometry of the square VWXY?

A: The square VWXY has four equal sides and four right angles.

Q: How do I find the coordinates of the vertices of a square?

A: To find the coordinates of the vertices of a square, you need to know the length of one side and the position of the square on the coordinate plane. You can then use the distance formula to find the coordinates of the vertices.

Q: What is the distance between two points on a coordinate plane?

A: The distance between two points on a coordinate plane can be found using the distance formula: Distance = √((x2 - x1)^2 + (y2 - y1)^2).

Q: How do I graph a square on a coordinate plane?

A: To graph a square on a coordinate plane, you need to know the coordinates of the vertices of the square. You can then plot the vertices on the coordinate plane and draw the square.