Question

The sides of the square below are

8 units long. Each side of the square
is parallel to an axis.
What are the coordinates of point G
on the square?
0-
E (1,6)
H
F
G
X

Answer 1

To find the coordinates of point G on the square, we use the given coordinates of point E (1,6) and subtract the side length of the square (8 units) from the y-coordinate of point E, giving us the coordinates of point G as (1, -2).

Step-by-step explanation:

To find the coordinates of point G on a square with sides 8 units long and each side parallel to an axis, we need to apply our understanding of the coordinate system and geometric shapes. We are given the coordinates of point E as (1,6), and since the sides of the square are parallel to the axes, the x-coordinate of point G will be the same as the x-coordinate of point E, because they are both on the right side of the square. To find the y-coordinate of point G, we subtract the length of the side of the square from the y-coordinate of point E.

So, the y-coordinate of point G will be:

6 (the y-coordinate of point E) - 8 (the length of the square's side) = -2

Therefore, the coordinates of point G are (1, -2).

Answer 2

The coordinates of point G on the square are determined by its position below point E, sharing the same x-coordinate (1) and being 8 units apart on the y-axis, leading to the coordinates (1, -2).

Step-by-step explanation:

To find the coordinates of point G on the square with each side 8 units long and each side parallel to an axis, we need to use the given information effectively.

The point E is given as (1,6). Since the square's sides are parallel to the axes, point G will be directly below point E (since they share the same x-coordinate) and 8 units apart (the length of a side of the square).

Hence, the x-coordinate will remain the same as E's x-coordinate, which is 1.

To find G's y-coordinate, we subtract the side length from E's y-coordinate: 6 - 8 = -2. Therefore, the coordinates of point G are (1, -2).