Question

In a quilt pattern, a polygon with vertices (-5, -1), (-6, -3), (-5,-5), and (-2,-2) is translated repeatedly

along the vector (3, 3). What are the coordinates of the third polygon in the pattern? Complete the explanation of how to solve the problem.
The coordinates of the third polygon ?
Use a table to find the coordinates of the first v polygon. Then make a new table, using the coordinates from the second y polygon to find the coordinates of the third polygon.

Answer 1

To find the coordinates of the third polygon in the pattern, add the translation vector to the coordinates of the previous polygon. The coordinates of the third polygon are (1, 5), (0, 3), (1, 1), and (4, 4).

Step-by-step explanation:

To find the coordinates of the third polygon in the pattern, we can start by finding the coordinates of the first polygon. We will use the translation vector (3, 3) to find the new coordinates.

First, add the vector (3, 3) to each vertex of the first polygon:

• Vertex 1: (-5, -1) + (3, 3) = (-2, 2)
• Vertex 2: (-6, -3) + (3, 3) = (-3, 0)
• Vertex 3: (-5, -5) + (3, 3) = (-2, -2)
• Vertex 4: (-2, -2) + (3, 3) = (1, 1)

So, the coordinates of the first polygon are (-2, 2), (-3, 0), (-2, -2), and (1, 1).

To find the coordinates of the third polygon, we can use the coordinates of the second polygon and apply the same translation vector:

• Vertex 1: (-2, 2) + (3, 3) = (1, 5)
• Vertex 2: (-3, 0) + (3, 3) = (0, 3)
• Vertex 3: (-2, -2) + (3, 3) = (1, 1)
• Vertex 4: (1, 1) + (3, 3) = (4, 4)

Therefore, the coordinates of the third polygon are (1, 5), (0, 3), (1, 1), and (4, 4).