Question

Use the graph to answer the question.

Graph of polygon ABCDE with vertices at negative 1 comma negative 4, negative 1 comma negative 1, 3 comma negative 1, 3 comma negative 4, 1 comma negative 6. A second polygon A prime B prime C prime D prime E prime with vertices at 13 comma negative 4, 13 comma negative 1, 9 comma negative 1, 9 comma negative 4, 11 comma negative 6.

Determine the line of reflection.

Answer 1

Explanation:

The image was created by translating 5 units down, 5 units up, 1 unit down, and 1 unit up. ABCD and A'B'C'D' are two polygons on the graph.

The first polygon, ABCD, has vertices at (1,-1), (3,-5), (7,-5), and (8,-5). (5,-1). The vertices of the second polygon, A'B'C'D', are located at (1,-6), (3,-10), (7,-10), and (8,-10). (5,-6).

What exactly are vertices?

Vertices are points in a geometric figure that define its shape. A vertex is defined mathematically as the intersection of two or more lines, edges, or curves.

We can compare the coordinates of the two polygons to determine the translation that was used to create the image. The first coordinate of the two polygons is (1,-1) and the second coordinate is (1,-1). (1,-6). The y-coordinate difference is 5 units, so the translation is 5 units down. The two polygons' second coordinate is (3,-5) and (3,-10). The y-coordinate difference is 5 units, so the translation is 5 units down.

The second polygon's third coordinate is (7,-5) and (7,-10). The y-coordinate difference is 5 units, so the translation is 5 units down. (5,-1) is the fourth coordinate of both polygons (5,-6). The y-coordinate difference is 5 units, so the translation is 5 units down.

The image was translated 5 units down, 5 units up, 1 unit down, and 1 unit up.

Answer 2

The line of reflection appears to be the vertical line passing through the point x=6. This is because the two polygons are mirror images of each other with respect to this line.

hope this helps!..