Question

c. list the ordered pairs of quadrilateral 2 if it is reflected over the x-axis. explain how you can determine the ordered pairs of the reflection without graphing it. plot the reflection described and label the figure as 3.

Explanation:

To solve this, we first need the ordered pairs of Quadrilateral 2 (which are not provided here). However, the rule for reflecting a point \((x, y)\) over the \(x\)-axis is to keep the \(x\)-coordinate the same and change the sign of the \(y\)-coordinate, so the reflected point is \((x, -y)\).

Step 1: Recall the reflection rule over the \(x\)-axis

For any point \((x, y)\), its reflection over the \(x\)-axis is \((x, -y)\).

Step 2: Apply the rule to each vertex of Quadrilateral 2

Suppose the vertices of Quadrilateral 2 are \((x_1, y_1)\), \((x_2, y_2)\), \((x_3, y_3)\), \((x_4, y_4)\). Their reflections over the \(x\)-axis will be:

• \((x_1, -y_1)\)
• \((x_2, -y_2)\)
• \((x_3, -y_3)\)
• \((x_4, -y_4)\)

To fully answer, we need the original ordered pairs of Quadrilateral 2. For example, if Quadrilateral 2 has vertices \((1, 2)\), \((3, 4)\), \((5, 2)\), \((3, 0)\), their reflections over the \(x\)-axis would be \((1, -2)\), \((3, -4)\), \((5, -2)\), \((3, 0)\).

Plotting the Reflection

1. Identify the original vertices of Quadrilateral 2.
2. For each vertex \((x, y)\), calculate \((x, -y)\) using the reflection rule.
3. Plot these new points and connect them to form Quadrilateral 3.

If you provide the ordered pairs of Quadrilateral 2, we can give the exact reflected coordinates.

Answer:

To solve this, we first need the ordered pairs of Quadrilateral 2 (which are not provided here). However, the rule for reflecting a point \((x, y)\) over the \(x\)-axis is to keep the \(x\)-coordinate the same and change the sign of the \(y\)-coordinate, so the reflected point is \((x, -y)\).

Step 1: Recall the reflection rule over the \(x\)-axis

For any point \((x, y)\), its reflection over the \(x\)-axis is \((x, -y)\).

Step 2: Apply the rule to each vertex of Quadrilateral 2

Suppose the vertices of Quadrilateral 2 are \((x_1, y_1)\), \((x_2, y_2)\), \((x_3, y_3)\), \((x_4, y_4)\). Their reflections over the \(x\)-axis will be:

• \((x_1, -y_1)\)
• \((x_2, -y_2)\)
• \((x_3, -y_3)\)
• \((x_4, -y_4)\)

To fully answer, we need the original ordered pairs of Quadrilateral 2. For example, if Quadrilateral 2 has vertices \((1, 2)\), \((3, 4)\), \((5, 2)\), \((3, 0)\), their reflections over the \(x\)-axis would be \((1, -2)\), \((3, -4)\), \((5, -2)\), \((3, 0)\).

Plotting the Reflection

1. Identify the original vertices of Quadrilateral 2.
2. For each vertex \((x, y)\), calculate \((x, -y)\) using the reflection rule.
3. Plot these new points and connect them to form Quadrilateral 3.

If you provide the ordered pairs of Quadrilateral 2, we can give the exact reflected coordinates.