Question

plot all of the points of the reflected figure. you may click a plotted point to delete it. answer attempt 2 out of 3

Explanation:

To solve the problem of reflecting the figure over the \( y \)-axis (assuming the reflection is over the \( y \)-axis, as it's a common reflection and the original figure is on the left of the \( y \)-axis), we follow these steps:

Step 1: Identify Original Points

First, we determine the coordinates of the vertices of the original figure. Let's assume the original points (from left to right, top to bottom) are:

• \( A(-6, 7) \)
• \( B(-5, 5) \)
• \( C(-3, 9) \)
• \( D(-2, 4) \)
• \( E(-1, 3) \)

Step 2: Apply Reflection Over \( y \)-axis

The rule for reflecting a point \( (x, y) \) over the \( y \)-axis is \( (x, y)
ightarrow (-x, y) \). We apply this to each original point:

• For \( A(-6, 7) \): \( (-(-6), 7) = (6, 7) \)
• For \( B(-5, 5) \): \( (-(-5), 5) = (5, 5) \)
• For \( C(-3, 9) \): \( (-(-3), 9) = (3, 9) \)
• For \( D(-2, 4) \): \( (-(-2), 4) = (2, 4) \)
• For \( E(-1, 3) \): \( (-(-1), 3) = (1, 3) \)

Step 3: Plot the Reflected Points

Plot the new points \( (6, 7) \), \( (5, 5) \), \( (3, 9) \), \( (2, 4) \), and \( (1, 3) \) on the coordinate plane. These points form the reflected figure over the \( y \)-axis.

Final Answer

The reflected points are \( (6, 7) \), \( (5, 5) \), \( (3, 9) \), \( (2, 4) \), and \( (1, 3) \). Plot these points to complete the reflection.

Answer:

To solve the problem of reflecting the figure over the \( y \)-axis (assuming the reflection is over the \( y \)-axis, as it's a common reflection and the original figure is on the left of the \( y \)-axis), we follow these steps:

Step 1: Identify Original Points

First, we determine the coordinates of the vertices of the original figure. Let's assume the original points (from left to right, top to bottom) are:

• \( A(-6, 7) \)
• \( B(-5, 5) \)
• \( C(-3, 9) \)
• \( D(-2, 4) \)
• \( E(-1, 3) \)

Step 2: Apply Reflection Over \( y \)-axis

The rule for reflecting a point \( (x, y) \) over the \( y \)-axis is \( (x, y)
ightarrow (-x, y) \). We apply this to each original point:

• For \( A(-6, 7) \): \( (-(-6), 7) = (6, 7) \)
• For \( B(-5, 5) \): \( (-(-5), 5) = (5, 5) \)
• For \( C(-3, 9) \): \( (-(-3), 9) = (3, 9) \)
• For \( D(-2, 4) \): \( (-(-2), 4) = (2, 4) \)
• For \( E(-1, 3) \): \( (-(-1), 3) = (1, 3) \)

Step 3: Plot the Reflected Points

Plot the new points \( (6, 7) \), \( (5, 5) \), \( (3, 9) \), \( (2, 4) \), and \( (1, 3) \) on the coordinate plane. These points form the reflected figure over the \( y \)-axis.

Final Answer

The reflected points are \( (6, 7) \), \( (5, 5) \), \( (3, 9) \), \( (2, 4) \), and \( (1, 3) \). Plot these points to complete the reflection.