When you translate, a geometric figure horizontally, in which possible directions, might be moving the figure?

When translating a geometric figure horizontally, the possible directions in which the figure might move include:

1. Left: Moving the figure towards the left side of the coordinate plane.
2. Right: Moving the figure towards the right side of the coordinate plane.
3. No movement: If the figure does not move horizontally, it remains in its original position.

Vertical & Horizontal Translations Quick Check

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Question
When you translate a geometric figure horizontally, in which possible directions might you be moving the figure?(1 point)
Responses

left
left

left or right
left or right

diagonally right or left
diagonally right or left

up or down

When translating a geometric figure horizontally, you can move the figure in two possible directions:

1. Rightwards: This means shifting the figure to the right along the horizontal axis. Each point on the figure will be moved horizontally in the positive direction.

For example, if you have a point A(3, 4) in the initial position, translating it rightwards by 2 units would result in a new position A'(5, 4).

2. Leftwards: This means shifting the figure to the left along the horizontal axis. Each point on the figure will be moved horizontally in the negative direction.

For example, if you have a point B(1, 2) in the initial position, translating it leftwards by 3 units would result in a new position B'(-2, 2).

When translating a geometric figure horizontally, the figure can be moved in either the leftward direction or the rightward direction.

To perform a horizontal translation, also known as a horizontal shift, you can follow these steps:

1. Identify the direction and distance of the translation. In this case, the translation is horizontal, so you need to determine whether it is leftward or rightward. If the figure is moving to the left, the translation is leftward, and if it is moving to the right, then the translation is rightward.

2. Determine the amount of the translation. This refers to how far the figure is being moved horizontally. It can be measured in units or specified by a given distance.

3. Apply the translation to each point or vertex of the geometric figure. To translate the figure leftward, subtract the chosen amount from the x-coordinates of all the vertices. To translate the figure rightward, add the chosen amount to the x-coordinates of all the vertices.

By following these steps, you can easily move a geometric figure horizontally in the desired direction.

When you translate a geometric figure horizontally, the possible directions in which you might be moving the figure are:

1. Left
2. Right